DSP

Discrete Signals

Discrete Time Signals Standard Sequences LTI Systems Convolution Sum Difference Equations Correlation

Z-Transform

Z-Transform Definition Properties of ROC Inverse Z-Transform Transfer Function System Response

DFT & FFT

DTFT Overview DFT Basics Properties of DFT Circular vs Linear FFT Algorithms Computations in FFT Goertzel Algorithm

FIR Filters

Filter Types FIR Characteristics FIR Filter Design Window Functions Kaiser Window FIR Structures

IIR Filters

IIR Basics Impulse Invariance Bilinear Transform Butterworth Filters Chebyshev Filters IIR Structures

Multirate DSP

Decimation Interpolation Sampling Rate Conversion Polyphase Decomposition Filter Banks

Adaptive Filters

Adaptive Filter Basics LMS Algorithm RLS Algorithm Noise Cancellation Echo Cancellation Channel Equalization

DSP Applications

Speech Processing Basics Image Processing Basics Audio Compression Radar Signal Processing

Difference Equations

Describing discrete systems, recursive solving.

Darshan N

Updated: 19 March 2026

6 min read

Difference Equations Quiz

Test your ability to analyze and solve discrete-time systems described by difference equations.

Question 1 of 3

Q1.A first-order difference equation is y[n] - 0.5*y[n-1] = x[n]. What is the natural (homogeneous) solution of this equation?

Discrete Time Signals

Sequences, operations, energy/power.

4 min read

Standard Sequences

Impulse, step, exponential, sinusoidal.

10 min read

LTI Systems

Linearity, Time-invariance, causality.

7 min read

System Response

Solving difference equations using Z-transform.

7 min read

DFT Basics

Discrete Fourier Transform definition, bins.

5 min read

Convolution Sum

Correlation

Contents