Wave Walker DSP

DSP Algorithms for RF Systems

DSP: Math

Figure 1: The frequency response of the ideal low pass filter (LPF) for omega c = 1/8.

Deriving the Ideal Low Pass Filter (LPF)

October 1, 2022

Figure 3: Comparing a moving average filter N=8 with the single pole IIR filter approximation.

Single Pole IIR Filter: Substitute for Moving Average Filter

August 10, 2022

Figure 3: A semilog plot on y for x and 10^x.

Explaining Logarithms, Exponents and Base Numbers With Plots

July 27, 2022

Easy Guide to Logarithms and Decibels

July 20, 2022

Figure 2: The magnitude-squared of the boxcar window frequency response.

Fourier Transform of the Boxcar Window

July 13, 2022

Product to Sum Trigonometric Identities with Euler’s Formula

June 15, 2022

Figure 7: Increasing the length of the signal by 2 improved the DFT frequency resolution by a factor of 2! Compare the frequency response of Figure 6, both of which have 8-point DFTs.

DFT Frequency Resolution Explained

March 16, 2022

Trigonometric Identity: sin(x)^2 + cos(x)^2 = 1

March 9, 2022

Figure 2: The impulse response and frequency response of the LPF after the FIR filter gain is normalized to 0 dB at omega = 0.

Designing FIR Filter Gain

February 23, 2022

Figure 6: The magnitude of the cross correlation between c[n] and y[n], |Ryc[tau]|.

Cross Correlation: Explaining Time Lags

January 12, 2022