From 0fbd9c30348b9a43aac4d197f83c69810af719a9 Mon Sep 17 00:00:00 2001 From: Kevin Fronczak Date: Wed, 24 Apr 2024 15:28:36 -0400 Subject: [PATCH 01/11] Re-wrote analyzer block with Bartlett method --- .gitignore | 1 + README.rst | 37 +-- adc_eval/analyser.png | Bin 0 -> 223401 bytes adc_eval/spectrum.py | 568 +++++++++++++++++++----------------------- analyser.png | Bin 179600 -> 223044 bytes pscope.png | Bin 398614 -> 0 bytes pyproject.toml | 6 +- 7 files changed, 279 insertions(+), 333 deletions(-) create mode 100644 adc_eval/analyser.png delete mode 100644 pscope.png diff --git a/.gitignore b/.gitignore index c76536e..b1d9456 100644 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,4 @@ +.DS_Store __pycache__ .tox python_adc_eval.egg-info diff --git a/README.rst b/README.rst index 4164dee..21d9f5d 100644 --- a/README.rst +++ b/README.rst @@ -6,33 +6,16 @@ A python-based ADC evaluation tool, suitable for standalone or library-based usa Details -------- -Package based on +Inspired by `esynr3z/adc-eval `__ -Tiny tools collection (Python -`NumPy `__\ +\ `Matplotlib `__ -based) to do spectral analysis and calculate the key performance -parameters of an ADC. Just collect some data from the ADC, specify basic -ADC parameters and run analysis. See `example.ipynb `__ -(you will need `Jupyter Notebook `__ to be -installed). +Performs spectral analysis of a dataset utilizing the Bartlett method. Calculates SFDR, SNDR, as well as harmonics. .. figure:: analyser.png :alt: analyser analyser -References: - `Analog Devices MT-003 TUTORIAL “Understand SINAD, ENOB, -SNR, THD, THD + N, and SFDR so You Don’t Get Lost in the Noise -Floor” `__ -- `National Instruments Application Note 041 “The Fundamentals of -FFT-Based Signal Analysis and -Measurement” `__ - -Inspired by Linear Technology (now Analog Devices) -`PScope `__ -tool. - USAGE ======= @@ -50,13 +33,19 @@ Given an array of values representing the output of an ADC, the spectrum can be import adc_eval - adc_eval.spectrum.analyze(, , , , window='hanning', no_plot=) - + adc_eval.spectrum.analyze( + , + , + fs=, + dr=, + harmonics=, + leak=, + window=, + no_plot=, + yaxis=<"power"/"fullscale"> + ) -|pscope| Image source: `Creating an ADC Using FPGA Resources WP - -Lattice `__ -.. |pscope| image:: pscope.png .. |Lint| image:: https://github.com/fronzbot/python-adc-eval/workflows/Lint/badge.svg :target: 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JUcw~w{{Z)jb^`za diff --git a/pyproject.toml b/pyproject.toml index a3bf566..351403b 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -4,7 +4,7 @@ build-backend = "setuptools.build_meta" [project] name = "python-adc-eval" -version = "0.1.2" +version = "0.2.0" license = {text = "MIT"} description = "ADC Evaluation Library" readme = "README.rst" @@ -65,6 +65,7 @@ ignore = [ "D407", # Section name underlining "E501", # line too long "E731", # do not assign a lambda expression, use a def + "I001", #Unformatted/unsorted imports...who cares? "PLC1901", # Lots of false positives # False positives https://github.com/astral-sh/ruff/issues/5386 "PLC0208", # Use a sequence type instead of a `set` when iterating over values @@ -74,6 +75,7 @@ ignore = [ "PLR0915", # Too many statements ({statements} > {max_statements}) "PLR2004", # Magic value used in comparison, consider replacing {value} with a constant variable "PLW2901", # Outer {outer_kind} variable {name} overwritten by inner {inner_kind} target + "T201", # Allow print statements "UP006", # keep type annotation style as is "UP007", # keep type annotation style as is # Ignored due to performance: https://github.com/charliermarsh/ruff/issues/2923 @@ -84,7 +86,7 @@ exclude = [ ] line-length = 88 -target-version = "py39" +target-version = "py311" [tool.ruff.mccabe] max-complexity = 10 From 9b208f7a6193e9759c1f97f58a5cf1ef34fe6d68 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Wed, 24 Apr 2024 19:35:08 +0000 Subject: [PATCH 02/11] Bump black from 23.7.0 to 24.3.0 Bumps [black](https://github.com/psf/black) from 23.7.0 to 24.3.0. - [Release notes](https://github.com/psf/black/releases) - [Changelog](https://github.com/psf/black/blob/main/CHANGES.md) - [Commits](https://github.com/psf/black/compare/23.7.0...24.3.0) --- updated-dependencies: - dependency-name: black dependency-type: direct:production ... Signed-off-by: dependabot[bot] --- requirements_test.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/requirements_test.txt b/requirements_test.txt index de6f92f..86514b1 100644 --- a/requirements_test.txt +++ b/requirements_test.txt @@ -1,4 +1,4 @@ -black==23.7.0 +black==24.3.0 coverage==7.2.7 pylint==2.17.4 ruff==0.0.278 From bc33208e18af18086993b3e60757528cd10e6796 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Wed, 24 Apr 2024 19:35:08 +0000 Subject: [PATCH 03/11] Bump pygments from 2.15.1 to 2.17.2 Bumps [pygments](https://github.com/pygments/pygments) from 2.15.1 to 2.17.2. - [Release notes](https://github.com/pygments/pygments/releases) - [Changelog](https://github.com/pygments/pygments/blob/master/CHANGES) - [Commits](https://github.com/pygments/pygments/compare/2.15.1...2.17.2) --- updated-dependencies: - dependency-name: pygments dependency-type: direct:production update-type: version-update:semver-minor ... Signed-off-by: dependabot[bot] --- requirements_test.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/requirements_test.txt b/requirements_test.txt index de6f92f..895d20b 100644 --- a/requirements_test.txt +++ b/requirements_test.txt @@ -4,4 +4,4 @@ pylint==2.17.4 ruff==0.0.278 tox==4.6.4 restructuredtext-lint==1.4.0 -pygments==2.15.1 +pygments==2.17.2 From 06558ec89f885d7c876f2e73609ee12200eac308 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Wed, 24 Apr 2024 19:35:29 +0000 Subject: [PATCH 04/11] Bump matplotlib from 3.7.2 to 3.8.4 Bumps [matplotlib](https://github.com/matplotlib/matplotlib) from 3.7.2 to 3.8.4. - [Release notes](https://github.com/matplotlib/matplotlib/releases) - [Commits](https://github.com/matplotlib/matplotlib/compare/v3.7.2...v3.8.4) --- updated-dependencies: - dependency-name: matplotlib dependency-type: direct:production update-type: version-update:semver-minor ... Signed-off-by: dependabot[bot] --- pyproject.toml | 2 +- requirements.txt | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index a3bf566..c8847d2 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -21,7 +21,7 @@ classifiers = [ ] requires-python = ">=3.8.0" dependencies = [ - "matplotlib==3.7.2", + "matplotlib==3.8.4", ] [project.urls] diff --git a/requirements.txt b/requirements.txt index 3e0dfc5..b04e714 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1 +1 @@ -matplotlib==3.7.2 +matplotlib==3.8.4 From c53c3bed0e98341020252f4ae3062f1769b0a832 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Wed, 24 Apr 2024 19:35:33 +0000 Subject: [PATCH 05/11] Bump pylint from 2.17.4 to 3.1.0 Bumps [pylint](https://github.com/pylint-dev/pylint) from 2.17.4 to 3.1.0. - [Release notes](https://github.com/pylint-dev/pylint/releases) - [Commits](https://github.com/pylint-dev/pylint/compare/v2.17.4...v3.1.0) --- updated-dependencies: - dependency-name: pylint dependency-type: direct:production update-type: version-update:semver-major ... Signed-off-by: dependabot[bot] --- requirements_test.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/requirements_test.txt b/requirements_test.txt index de6f92f..8a1771a 100644 --- a/requirements_test.txt +++ b/requirements_test.txt @@ -1,6 +1,6 @@ black==23.7.0 coverage==7.2.7 -pylint==2.17.4 +pylint==3.1.0 ruff==0.0.278 tox==4.6.4 restructuredtext-lint==1.4.0 From 1de7ed15471a51e153d86157f3c326048a08af29 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Wed, 24 Apr 2024 19:38:55 +0000 Subject: [PATCH 06/11] Bump tox from 4.6.4 to 4.14.2 Bumps [tox](https://github.com/tox-dev/tox) from 4.6.4 to 4.14.2. - [Release notes](https://github.com/tox-dev/tox/releases) - [Changelog](https://github.com/tox-dev/tox/blob/main/docs/changelog.rst) - [Commits](https://github.com/tox-dev/tox/compare/4.6.4...4.14.2) --- updated-dependencies: - dependency-name: tox dependency-type: direct:production update-type: version-update:semver-minor ... Signed-off-by: dependabot[bot] --- requirements_test.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/requirements_test.txt b/requirements_test.txt index aadf11f..38c79c4 100644 --- a/requirements_test.txt +++ b/requirements_test.txt @@ -2,6 +2,6 @@ black==24.3.0 coverage==7.2.7 pylint==3.1.0 ruff==0.0.278 -tox==4.6.4 +tox==4.14.2 restructuredtext-lint==1.4.0 pygments==2.15.1 From 2623334420a63a55adbb85325c861e374b132744 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Wed, 24 Apr 2024 19:39:05 +0000 Subject: [PATCH 07/11] Bump black from 23.7.0 to 24.4.1 Bumps [black](https://github.com/psf/black) from 23.7.0 to 24.4.1. - [Release notes](https://github.com/psf/black/releases) - [Changelog](https://github.com/psf/black/blob/main/CHANGES.md) - [Commits](https://github.com/psf/black/compare/23.7.0...24.4.1) --- updated-dependencies: - dependency-name: black dependency-type: direct:production update-type: version-update:semver-major ... Signed-off-by: dependabot[bot] --- requirements_test.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/requirements_test.txt b/requirements_test.txt index aadf11f..17904c3 100644 --- a/requirements_test.txt +++ b/requirements_test.txt @@ -1,4 +1,4 @@ -black==24.3.0 +black==24.4.1 coverage==7.2.7 pylint==3.1.0 ruff==0.0.278 From ed477bd1836879aff1ee8ef3eb30b70bac6e1074 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Wed, 24 Apr 2024 19:39:15 +0000 Subject: [PATCH 08/11] Bump coverage from 7.2.7 to 7.5.0 Bumps [coverage](https://github.com/nedbat/coveragepy) from 7.2.7 to 7.5.0. - [Release notes](https://github.com/nedbat/coveragepy/releases) - [Changelog](https://github.com/nedbat/coveragepy/blob/master/CHANGES.rst) - [Commits](https://github.com/nedbat/coveragepy/compare/7.2.7...7.5.0) --- updated-dependencies: - dependency-name: coverage dependency-type: direct:production update-type: version-update:semver-minor ... Signed-off-by: dependabot[bot] --- requirements_test.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/requirements_test.txt b/requirements_test.txt index 4fcb100..ba00f56 100644 --- a/requirements_test.txt +++ b/requirements_test.txt @@ -1,5 +1,5 @@ black==24.3.0 -coverage==7.2.7 +coverage==7.5.0 pylint==3.1.0 ruff==0.0.278 tox==4.6.4 From eb6179a125669b40128eb5caf75be1c80fd94586 Mon Sep 17 00:00:00 2001 From: "dependabot[bot]" <49699333+dependabot[bot]@users.noreply.github.com> Date: Wed, 24 Apr 2024 19:41:53 +0000 Subject: [PATCH 09/11] Bump ruff from 0.0.278 to 0.4.1 Bumps [ruff](https://github.com/astral-sh/ruff) from 0.0.278 to 0.4.1. - [Release notes](https://github.com/astral-sh/ruff/releases) - [Changelog](https://github.com/astral-sh/ruff/blob/main/CHANGELOG.md) - [Commits](https://github.com/astral-sh/ruff/compare/v0.0.278...v0.4.1) --- updated-dependencies: - dependency-name: ruff dependency-type: direct:production update-type: version-update:semver-minor ... Signed-off-by: dependabot[bot] --- requirements_test.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/requirements_test.txt b/requirements_test.txt index 471340c..4838eda 100644 --- a/requirements_test.txt +++ b/requirements_test.txt @@ -1,7 +1,7 @@ black==24.4.1 coverage==7.2.7 pylint==3.1.0 -ruff==0.0.278 +ruff==0.4.1 tox==4.6.4 restructuredtext-lint==1.4.0 pygments==2.17.2 From f27ddd5fc12f6ca7dab3d9a4e6afe634e65872aa Mon Sep 17 00:00:00 2001 From: Kevin Fronczak Date: Wed, 24 Apr 2024 15:46:15 -0400 Subject: [PATCH 10/11] Migrate to lint for ignore, select, and mccabe --- pyproject.toml | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index c8847d2..cfdfabb 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -35,7 +35,7 @@ include-package-data = true [tool.setuptools.packages.find] include = ["adc_eval*"] -[tool.ruff] +[lint] select = [ "C", # complexity "D", # docstrings @@ -79,6 +79,8 @@ ignore = [ # Ignored due to performance: https://github.com/charliermarsh/ruff/issues/2923 "UP038", # Use `X | Y` in `isinstance` call instead of `(X, Y)` ] + +[tool.ruff] exclude = [ "__init__.py", ] @@ -86,5 +88,5 @@ line-length = 88 target-version = "py39" -[tool.ruff.mccabe] +[lint.mccabe] max-complexity = 10 From 178ccef5694c1740d90d1d2e4d334f34a0ecb7d9 Mon Sep 17 00:00:00 2001 From: Kevin Fronczak Date: Wed, 24 Apr 2024 15:52:01 -0400 Subject: [PATCH 11/11] Update publish.yml --- .github/workflows/publish.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.github/workflows/publish.yml b/.github/workflows/publish.yml index 57427e9..fb212e5 100644 --- a/.github/workflows/publish.yml +++ b/.github/workflows/publish.yml @@ -10,9 +10,9 @@ jobs: steps: - uses: actions/checkout@v2 - name: Set up Python - uses: actions/setup-python@v1 + uses: actions/setup-python@v4 with: - python-version: '3.9' + python-version: '3.11' - name: Install dependencies run: | python -m pip install --upgrade pip

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+"""Spectral analysis module.""" -References: - - Analog Devices MT-003 TUTORIAL - "Understand SINAD, ENOB, SNR, THD, THD + N, and SFDR so You Don't Get Lost in the Noise Floor" - - National Instruments Application Note 041 - "The Fundamentals of FFT-Based Signal Analysis and Measurement" +import numpy as np +import matplotlib.pyplot as plt -""" -import matplotlib -import matplotlib.pyplot as plt -import numpy as np +def db_to_pow(value, places=3): + """Convert dBW to W.""" + if isinstance(value, np.ndarray): + return 10 * np.log10(value) + return round(10 ** (0.1 * value), places) -def db2amp(db): - """Decibels to amplitutde ratio.""" - return 10 ** (0.05 * db) +def dBW(value, places=1): + """Convert to dBW.""" + if isinstance(value, np.ndarray): + return 10 * np.log10(value) + return round(10 * np.log10(value), places) -def amp2db(a): - """Amplitutde ratio to decibels.""" - return 20 * np.log10(a) +def enob(sndr, places=1): + """Return ENOB for given SNDR.""" + return round((sndr - 1.76) / 6.02, places) -def db2pow(db): - """Decibels to power ratio.""" - return 10 ** (0.1 * db) +def sndr_sfdr(spectrum, freq, nfft, leak, full_scale=0): + """Get SNDR and SFDR.""" + # Zero the DC bin + spectrum[0] = 0 + bin_sig = np.argmax(spectrum) + psig = sum(spectrum[i] for i in range(bin_sig - leak, bin_sig + leak + 1)) + spectrum_n = spectrum + spectrum_n[bin_sig] = 0 + for i in range(bin_sig - leak, bin_sig + leak + 1): + spectrum_n[i] = 0 -def pow2db(p): - """Power ratio to decibels.""" - return 10 * np.log10(p) + bin_spur = np.argmax(spectrum_n) + pspur = spectrum[bin_spur] + noise_power = sum(spectrum_n) + noise_floor = 2 * noise_power / nfft -def enob(sinad): - """Calculate ENOB from SINAD.""" - return (sinad - 1.76) / 6.02 + stats = {} + stats["sig"] = { + "freq": freq[bin_sig], + "bin": bin_sig, + "power": psig, + "dB": dBW(psig), + "dBFS": round(dBW(psig) - full_scale, 1), + } -def snr_theor(n): - """Theoretical SNR of an ideal n-bit ADC in dB.""" - return 6.02 * n + 1.76 + stats["spur"] = { + "freq": freq[bin_spur], + "bin": bin_spur, + "power": pspur, + "dB": dBW(pspur), + "dBFS": round(dBW(pspur) - full_scale, 1), + } + stats["noise"] = { + "floor": noise_floor, + "power": noise_power, + "rms": np.sqrt(noise_power), + "dBHz": round(dBW(noise_floor) - full_scale, 1), + } + stats["sndr"] = { + "dBc": dBW(psig / noise_power), + "dBFS": round(full_scale - dBW(noise_power), 1), + } + stats["sfdr"] = { + "dBc": dBW(psig / pspur), + "dBFS": round(full_scale - dBW(pspur), 1), + } + stats["enob"] = {"bits": enob(stats["sndr"]["dBFS"])} + + return stats -def noise_floor(snr, m): - """Noise floor of the m-point FFT in dB.""" - return -snr - 10 * np.log10(m / 2) +def find_harmonics(spectrum, freq, nfft, bin_sig, psig, harms=5, leak=20): + """Get the harmonic contents of the data.""" + harm_stats = {"harm": {}} + harm_index = 2 + for harm in bin_sig * np.arange(2, harms + 1): + harm_stats["harm"][harm_index] = {} + zone = np.floor(harm / (nfft / 2)) + 1 + if zone % 2 == 0: + bin_harm = int(nfft / 2 - (harm - (zone - 1) * nfft / 2)) + else: + bin_harm = int(harm - (zone - 1) * nfft / 2) + + # Make sure we pick the max bin where power is maximized; due to spectral leakage + bin_harm_max = bin_harm + for i in range(bin_harm - leak, bin_harm + leak + 1): + if spectrum[i] > spectrum[bin_harm_max]: + bin_harm_max = i + + bin_harm = bin_harm_max + + harm_stats["harm"][harm_index]["bin"] = bin_harm + harm_stats["harm"][harm_index]["power"] = spectrum[bin_harm] + harm_stats["harm"][harm_index]["freq"] = round(freq[bin_harm] / 1e6, 1) + harm_stats["harm"][harm_index]["dBc"] = dBW(spectrum[bin_harm] / psig) + harm_stats["harm"][harm_index]["dB"] = dBW(spectrum[bin_harm]) + + harm_index = harm_index + 1 + + return harm_stats + + +def calc_psd(data, fs, nfft=2**12, single_sided=False): + """Calculate the PSD using the Bartlett method.""" + nwindows = int(np.floor(len(data) / nfft)) + nfft = int(nfft) + xs = data[0 : int(nwindows * nfft)] + xt = xs.reshape(nwindows, nfft).T + XF = abs(np.fft.fft(xt, nfft, axis=0) / nfft) ** 2 + psd = np.mean(XF, axis=1) / (fs / nfft) # average the ffts and divide by bin width + freq = fs * np.linspace(0, 1, nfft) + if single_sided: + psd = 2 * psd[0 : int(nfft / 2)] + freq = freq[0 : int(nfft / 2)] + return (freq, psd) + + +def get_spectrum(data, fs=1, nfft=2**12): + """Get the power spectrum for an input signal.""" + (freq, psd) = calc_psd(np.array(data), fs=fs, nfft=nfft, single_sided=True) + return (freq, psd * fs / nfft) + + +def plot_spectrum( + data, + fs=1, + nfft=2**12, + dr=1, + harmonics=7, + leak=1, + window="rectangular", + no_plot=False, + yaxis="power", +): + """Plot Power Spectrum for input signal.""" + wsize = data.size + windows = { + "rectangular": np.ones(wsize), + "hanning": np.hanning(wsize), + } + if window not in windows: + print(f"WARNING: {window} not implemented. Defaulting to 'rectangular'.") + window = "rectangular" -def harmonics(psp, fft_n, ref_pow, sample_freq, leak=20, n=5, window="hanning"): - """Obtain first n harmonics properties from power spectrum.""" - # Coherence Gain and Noise Power Bandwidth for different windows - win_params = { - "uniform": {"cg": 1.0, "npb": 1.0}, - "hanning": {"cg": 0.5, "npb": 1.5}, - "hamming": {"cg": 0.54, "npb": 1.36}, - "blackman": {"cg": 0.42, "npb": 1.73}, + wscale = { + "rectangular": 1.0, + "hanning": 1.633, }[window] - fft_n = len(psp) * 2 # one side spectrum provided - df = sample_freq / fft_n - # calculate fundamental frequency - fund_bin = np.argmax(psp) - fund_freq = fund_bin * df - num = np.sum([psp[i] * i * df for i in range(fund_bin - leak, fund_bin + leak + 1)]) - den = np.sum(psp[fund_bin - leak : fund_bin + leak + 1]) - if den > 0: - fund_freq = num / den - - # calculate harmonics info - h = [] - for i in range(1, n + 1): - h_i = {"num": i} - zone_freq = (fund_freq * i) % sample_freq - h_i["freq"] = ( - sample_freq - zone_freq if zone_freq >= (sample_freq / 2) else zone_freq - ) - h_i["central_bin"] = int(h_i["freq"] / df) - h_i["bins"] = np.array( - range(h_i["central_bin"] - leak, h_i["central_bin"] + leak + 1) - ) - h_i["pow"] = ( - ((1 / win_params["cg"]) ** 2) * np.sum(psp[h_i["bins"]]) / win_params["npb"] - ) - h_i["vrms"] = np.sqrt(h_i["pow"]) - if i == 1: - h_i["db"] = "%.2f dBFS" % pow2db(h_i["pow"] / ref_pow) - else: - try: - h_i["db"] = "%.2f dBc" % pow2db(h_i["pow"] / h[0]["pow"]) - except IndexError: - continue - h += [h_i] - return h - - -def signal_noise(psp, harms): - """Obtain different signal+noise characteristics from spectrum.""" - # noise + distortion power - nd_psp = np.copy(psp) - nd_psp[harms[0]["bins"]] = 0 # remove main harmonic - nd_psp[0] = 0 # remove dc - nd_pow = sum(nd_psp) - # noise power - n_psp = np.copy(psp) - for h in harms: - n_psp[h["bins"]] = 0 # remove all harmonics - n_psp[0] = 0 # remove dc - n_pow = sum(n_psp) - # distortion power - d_pow = np.sum([h["pow"] for h in harms]) - harms[0]["pow"] - # calculate results - sinad = pow2db(harms[0]["pow"] / nd_pow) - thd = pow2db(harms[0]["pow"] / d_pow) - snr = pow2db(harms[0]["pow"] / n_pow) - sfdr = pow2db(max(nd_psp) / harms[0]["pow"]) - return sinad, thd, snr, sfdr - - -def analyze(sig, adc_bits, adc_vref, adc_freq, window="hanning", no_plot=False): - """Do spectral analysis for ADC samples.""" - # Calculate some useful parameters - sig_vpeak_max = adc_vref / 2 - sig_vrms_max = sig_vpeak_max / np.sqrt(2) - sig_pow_max = sig_vrms_max**2 - ref_pow = sig_pow_max - adc_prd = 1 / adc_freq - adc_quants = 2**adc_bits - dv = adc_vref / adc_quants - sig_n = len(sig) - dt = 1 / adc_freq - fft_n = sig_n - df = adc_freq / fft_n - win_coef = {"uniform": np.ones(sig_n), "hanning": np.hanning(sig_n)}[window] - sp_leak = 20 # spectru leak bins - h_n = 5 # harmonics number - - # Convert samples to voltage - sig_v = sig * dv - - # Remove DC and apply window - sig_dc = np.mean(sig_v) - sig_windowed = (sig_v - sig_dc) * win_coef - - # Calculate one-side amplitude spectrum (Vrms) - asp = np.sqrt(2) * np.abs(np.fft.rfft(sig_windowed)) / sig_n - - # Calculate one-side power spectrum (Vrms^2) - psp = np.power(asp, 2) - psp_db = pow2db(psp / ref_pow) - - # Calculate harmonics - h = harmonics( - psp=psp, - fft_n=fft_n, - ref_pow=ref_pow, - sample_freq=adc_freq, - leak=sp_leak, - n=h_n, - window=window, + + (freq, pwr) = get_spectrum(data * windows[window] * wscale, fs=fs, nfft=nfft) + full_scale = dBW(dr**2 / 8) + + scalar = 0 + yunits = "dB" + if yaxis.lower() == "fullscale": + scalar = full_scale + yunits = "dBFS" + + pwr_dB = 10 * np.log10(pwr) - scalar + + sndr_stats = sndr_sfdr(pwr, freq, nfft, leak=leak, full_scale=full_scale) + harm_stats = find_harmonics( + pwr, + freq, + nfft, + sndr_stats["sig"]["bin"], + sndr_stats["sig"]["power"], + harms=harmonics, + leak=leak, ) - # Input signal parameters (based on 1st harmonic) - sig_pow = h[0]["pow"] - sig_vrms = h[0]["vrms"] - sig_vpeak = sig_vrms * np.sqrt(2) - sig_freq = h[0]["freq"] - sig_prd = 1 / sig_freq - - # Calculate SINAD, THD, SNR, SFDR - adc_sinad, adc_thd, adc_snr, adc_sfdr = signal_noise(psp, h) - - # Calculate ENOB - # sinad correction to normalize ENOB to full-scale regardless of input signal amplitude - adc_enob = enob(adc_sinad + pow2db(ref_pow / sig_pow)) - - # Calculate Noise Floor - adc_noise_floor = noise_floor(adc_snr, fft_n) - harm = {} - for index, h_i in enumerate(h): - harm[h_i["num"]] = [h_i["freq"], h_i["db"]] - - result_data = { - "points": fft_n, - "fbin": df, - "window": window, - "harmonics": harm, - "fin": sig_freq, - "vpeak": sig_vpeak, - "offset": sig_dc, - "fsamp": adc_freq, - "tsamp": adc_prd, - "vref": adc_vref, - "bits": adc_bits, - "quants": adc_quants, - "quant": dv * 1e3, - "snr": adc_snr, - "sinad": adc_sinad, - "thd": adc_thd, - "enob": adc_enob, - "noise_floor": adc_noise_floor, - } + stats = {**sndr_stats, **harm_stats} if not no_plot: - # Create plots - plt.figure(figsize=(14, 7)) - gs = matplotlib.gridspec.GridSpec(2, 2, width_ratios=[3, 1]) - - # Time plot - ax_time = plt.subplot(gs[0, 0]) - ax_time_xlim = min(sig_n, int(5 * sig_prd / dt)) - ax_time.plot(np.arange(0, ax_time_xlim), sig[:ax_time_xlim], color="C0") - ax_time.set(ylabel="ADC code", ylim=[0, adc_quants]) - ax_time.set( - yticks=list(range(0, adc_quants, adc_quants // 8)) + [adc_quants - 1] + plt_str = get_plot_string(stats, full_scale, fs, nfft, window) + + fig, ax = plt.subplots(figsize=(15, 8)) + ax.plot(freq / 1e6, pwr_dB) + ax.set_ylabel(f"Power Spectrum ({yunits})", fontsize=18) + ax.set_xlabel("Frequency (MHz)", fontsize=16) + ax.set_title("Output Power Spectrum", fontsize=16) + ax.set_xlim([0, fs / 2e6]) + ax.set_ylim([1.1 * min(pwr_dB), 0]) + ax.annotate( + plt_str, + xy=(1, 1), + xytext=(10, -80), + xycoords=("axes fraction", "figure fraction"), + textcoords="offset points", + size=11, + ha="left", + va="top", ) - ax_time.set(xlabel="Sample", xlim=[0, ax_time_xlim - 1]) - ax_time.set(xticks=range(0, ax_time_xlim, max(1, ax_time_xlim // 20))) - ax_time.grid(True) - ax_time_xsec = ax_time.twiny() - ax_time_xsec.set(xticks=ax_time.get_xticks()) - ax_time_xsec.set(xbound=ax_time.get_xbound()) - ax_time_xsec.set_xticklabels( - ["%.02f" % (x * dt * 1e3) for x in ax_time.get_xticks()] - ) - ax_time_xsec.set_xlabel("Time, ms") - ax_time_ysec = ax_time.twinx() - ax_time_ysec.set(yticks=ax_time.get_yticks()) - ax_time_ysec.set(ybound=ax_time.get_ybound()) - ax_time_ysec.set_yticklabels(["%.02f" % (x * dv) for x in ax_time.get_yticks()]) - ax_time_ysec.set_ylabel("Voltage, V") - - # Frequency plot - ax_freq = plt.subplot(gs[1, 0]) - ax_freq.plot( - np.arange(0, len(psp_db)), psp_db, color="C0", zorder=0, label="Spectrum" - ) - for h_i in h: - ax_freq.text( - h_i["central_bin"] + 2, - psp_db[h_i["central_bin"]], - str(h_i["num"]), - va="bottom", - ha="left", - weight="bold", - ) - ax_freq.plot(h_i["bins"], psp_db[h_i["bins"]], color="C4") - ax_freq.plot(0, 0, color="C4", label="Harmonics") - ax_freq.set(ylabel="dB", ylim=[-150, 10]) - ax_freq.set(xlabel="Sample", xlim=[0, fft_n / 2]) - ax_freq.set(xticks=list(range(0, fft_n // 2, fft_n // 32)) + [fft_n // 2 - 1]) - ax_freq.grid(True) - ax_freq.legend(loc="lower right", ncol=3) - ax_freq_sec = ax_freq.twiny() - ax_freq_sec.set_xticks(ax_freq.get_xticks()) - ax_freq_sec.set_xbound(ax_freq.get_xbound()) - ax_freq_sec.set_xticklabels( - ["%.02f" % (x * df * 1e-3) for x in ax_freq.get_xticks()] - ) - ax_freq_sec.set_xlabel("Frequency, kHz") - - # Information plot - ax_info = plt.subplot(gs[:, 1]) - ax_info.set(xlim=[0, 10], xticks=[], ylim=[0, 10], yticks=[]) - harmonics_str = "\n".join( - [ - "%d%s @ %-10s : %s" - % ( - h_i["num"], - ["st", "nd", "rd", "th", "th"][h_i["num"] - 1], - "%0.3f kHz" % (h_i["freq"] * 1e-3), - h_i["db"], - ) - for h_i in h - ] - ) - ax_info_str = """ - ========= FFT ========== - Points : {fft_n} - Freq. resolution : {fft_res:.4} Hz - Window : {fft_window} - - ======= Harmonics ====== - {harmonics_str} - - ===== Input signal ===== - Frequency : {sig_freq:.4} kHz - Amplitude (Vpeak): {sig_vpeak:.4} V - DC offset : {sig_dc:.4} V - - ========= ADC ========== - Sampling freq. : {adc_freq:.4} kHz - Sampling period : {adc_prd:.4} us - Reference volt. : {adc_vref:.4} V - Bits : {adc_bits} bits - Quants : {adc_quants} - Quant : {adc_quant:.4} mV - SNR : {adc_snr:.4} dB - SINAD : {adc_sinad:.4} dB - THD : {adc_thd:.4} dB - ENOB : {adc_enob:.4} bits - SFDR : {adc_sfdr:.4} dBc - Noise floor : {adc_nfloor:.4} dBFS - """.format( - fft_n=fft_n, - fft_res=df, - fft_window=window, - harmonics_str=harmonics_str, - sig_freq=sig_freq * 1e-3, - sig_vpeak=sig_vpeak, - sig_dc=sig_dc, - adc_freq=adc_freq * 1e-3, - adc_prd=adc_prd * 1e6, - adc_vref=adc_vref, - adc_bits=adc_bits, - adc_quants=adc_quants, - adc_quant=dv * 1e3, - adc_snr=adc_snr, - adc_thd=adc_thd, - adc_sinad=adc_sinad, - adc_enob=adc_enob, - adc_sfdr=adc_sfdr, - adc_nfloor=adc_noise_floor, - ) - ax_info.text(1, 9.5, ax_info_str, va="top", ha="left", family="monospace") - # General plotting settings - plt.tight_layout() - plt.style.use("bmh") - - # Show the result - plt.show() + # Get noise floor in dB/Hz (not dBFS/Hz) + noise_dB = stats["noise"]["dBHz"] + full_scale + + # Add points for harmonics and largest spur + for hindex in range(2, harmonics + 1): + if stats["harm"][hindex]["dB"] > (noise_dB + 3): + ax.plot( + stats["harm"][hindex]["freq"], + stats["harm"][hindex]["dB"] - scalar, + marker="s", + mec="r", + ms=8, + fillstyle="none", + mew=3, + ) + ax.text( + stats["harm"][hindex]["freq"], + stats["harm"][hindex]["dB"] - scalar + 3, + f"HD{hindex}", + ha="center", + weight="bold", + ) + ax.tick_params(axis="both", which="major", labelsize=14) + ax.grid() + + return (pwr, stats) + + +def get_plot_string(stats, full_scale, fs, nfft, window): + """Generate plot string from stats dict.""" + + plt_str = "==== FFT ====\n" + plt_str += f"NFFT = {nfft}\n" + plt_str += f"fbin = {round(fs/nfft / 1e3, 2)} kHz\n" + plt_str += f"window = {window}\n" + plt_str += "\n" + plt_str += "==== Signal ====\n" + plt_str += f"FullScale = {full_scale} dB\n" + plt_str += f"Psig = {stats['sig']['dBFS']} dBFS ({stats['sig']['dB']} dB)\n" + plt_str += f"fsig = {round(stats['sig']['freq']/1e6, 2)} MHz\n" + plt_str += f"fsamp = {round(fs/1e6, 2)} MHz\n" + plt_str += "\n" + plt_str += "==== SNDR/SFDR ====\n" + plt_str += f"ENOB = {stats['enob']['bits']} bits\n" + plt_str += f"SNDR = {stats['sndr']['dBFS']} dBFS ({stats['sndr']['dBc']} dBc)\n" + plt_str += f"SFDR = {stats['sfdr']['dBFS']} dBFS ({stats['sfdr']['dBc']} dBc)\n" + plt_str += f"Pspur = {stats['spur']['dBFS']} dBFS\n" + plt_str += f"fspur = {round(stats['spur']['freq']/1e6, 2)} MHz\n" + plt_str += f"Noise Floor = {stats['noise']['dBHz']} dBFS/Hz\n" + plt_str += "\n" + plt_str += "==== Harmonics ====\n" + + for hindex, hdata in stats["harm"].items(): + plt_str += f"HD{hindex} = {round(hdata['dB'] - full_scale, 1)} dBFS @ {hdata['freq']} MHz\n" + + plt_str += "\n" + + return plt_str + + +def analyze( + data, + nfft, + fs=1, + dr=1, + harmonics=11, + leak=5, + window="rectangular", + no_plot=False, + yaxis="fullscale", +): + """Perform spectral analysis on input waveform.""" + (spectrum, stats) = plot_spectrum( + data, + fs=fs, + nfft=nfft, + dr=dr, + harmonics=harmonics, + leak=leak, + window=window, + no_plot=no_plot, + yaxis=yaxis, + ) - return result_data + return (spectrum, stats) diff --git a/analyser.png b/analyser.png index a75199da2ea83aedb62d52b28de43139bdc5f055..add8ec815637a1cc15364cbc3a987770dddd7a59 100644 GIT binary patch literal 223044 zcmeFZ2UJt}7Cs6HilAac6cH?=AW={(bWjo0D7{290UIK{O6U zA#oud9-gJgjvhAR;Sv1G!^1BqxDbxi-W!eJ;o&v6(b6(Frlqyfz}4xZjlC5QkIdc6 zca9(DJG=V2RK>0>&mU{w;(MYSpe@#uvGuG;ZBz%^-R4;$Y z_*JT3{>J4~yaNjspGe$usv&Th#HY6v(;Ggq4r#q4o0JM)aLW>ndbot_WWUg_(zEBC zzLZv;p}`8>)60cPOlzX#a1Qecz4>yZ61BTx@KFiVb=u1N3%8yde`;m<)lE!Y@6QJJ 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