The Discrete Fourier Transform by Hand: 8 and 16 Points with SIN, COS and SUMPRODUCT
This lesson is part of the course
In this lesson
You compute the real and imaginary parts of an 8-point and a 16-point DFT with one SUMPRODUCT each and read off which bins hold the cosine and the sine of each toy signal.
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Lessons in this course
- Sampling a Sine Wave: Index n, Sample Times and a Sampled Signal Locked
- Aliasing: The Nyquist Frequency and Where Fast Tones Fold To Locked
- Quantisation: Rounding to N Bits, the Error and the Signal-to-Noise Ratio Locked
- The Discrete Fourier Transform by Hand: 8 and 16 Points with SIN, COS and SUMPRODUCT Locked
- Magnitude and Phase Spectra: Bin Frequencies, |X|, ATAN with Quadrant Correction and Decibels Locked
- Windows and Leakage: A Tone Between Two Bins and the Hann Window Locked
- Filters: Moving Average, Exponential Smoothing and the Frequency Response |H(f)| Locked
- Capstone – Convolution: Echo and Smoothing Kernels with SUMPRODUCT Locked