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References: DFT, FFT and Frequency Domain Analysis

  1. Discrete Fourier transform - Wikipedia - Explains DFT definitions, matrix form, periodicity, symmetry, convolution relationships, spectral interpretation, and computational considerations.

  2. Spectral leakage - Wikipedia - Shows why finite observation windows spread sinusoidal energy across bins and how window choice changes leakage.

  3. Window function - Wikipedia - Compares common windows by main-lobe width, side-lobe level, equivalent noise bandwidth, and signal-analysis applications.

  4. Understanding Digital Signal Processing (3rd Edition) - Richard G. Lyons - Pearson - Lyons’ “DFT leakage” diagrams and bin-centered sinusoid examples clarify frequency resolution, scalloping, and spectral interpretation.

  5. Digital Signal Processing: Principles, Algorithms, and Applications (4th Edition) - John G. Proakis and Dimitris G. Manolakis - Pearson - The authors’ worked transform examples systematically connect DFT properties, FFT flowgraphs, windowing, and spectrum estimation.

  6. Spectrum Analysis Windows - CCRMA Stanford - Compares rectangular, Hann, Hamming, Blackman-Harris, Kaiser, and other windows using main-lobe and side-lobe tradeoffs.

  7. SciPy Signal Processing - SciPy - Provides window generators, periodograms, Welch estimates, spectrograms, and spectral-analysis routines with API details and examples.

  8. The Scientist and Engineer's Guide to DSP - Steven W. Smith - Includes practical chapters on the DFT, FFT, frequency response, spectral analysis, and implementation accuracy.

  9. Spectral Audio Signal Processing - Julius O. Smith III - Develops spectrum estimation, window selection, zero padding, frequency interpolation, and audio-focused interpretation in an open textbook.

  10. Signals and Systems Lecture Notes - MIT OpenCourseWare - Supplies lectures and exercises on discrete-time frequency representations, transform relationships, and Fourier applications.