CNN vs. FIR Filter: Visualizing Neural Network Weights for Signal Processing

Skeptical of ‘Black Box’ AI? We prove that a 1D Convolutional Neural Network (CNN) is mathematically identical to an adaptive FIR filter. Includes Python code to train a CNN to reinvent the Matched Filter and visualize its frequency response.

Design FIR filter to reject unwanted frequencies

Let’s see how to design a simple digital FIR filter to reject unwanted frequencies in an incoming signal. As a per-requisite, I urge you to read through this post: Introduction to digital filter design Background on transfer function The transfer function of a system provides the underlying support for ascertaining vital system response characteristics without … Read more

Digital filter design – Introduction

Key focus: Develop basic understanding of digital filter design. Learn about fundamentals of FIR and IIR filters and the design choices. Analog filters and digital filters are the two major classification of filters, depending on the type of signal signal they process. An analog filter, processes continuous-time signal analog signals. Whereas, digital filters process sampled, … Read more

Precoding for partial response signaling schemes

Introduction to precoding Intersymbol interference (ISI) is a common problem in telecommunication systems, such as terrestrial television broadcasting, digital data communication systems, and cellular mobile communication systems. Dispersive effects in high-speed data transmission and multipath fading are the main reasons for ISI. To maximize the capacity, the transmission bandwidth must be extended to the entire … Read more

Fading channel – complex baseband equivalent models

Fading Lab path: Fading models → Young → Clarke SOS → BPSK BER Rayleigh → MRC  Keyfocus: Fading channel models for simulation. Learn how fading channels can be modeled as FIR filters for simplified modulation & detection. Rayleigh/Rician fading. Introduction A fading channel is a wireless communication channel in which the quality of the … Read more