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

Correlation

Auto and Cross correlation.

Darshan N

Updated: 19 March 2026

4 min read

Correlation Quiz

Test your understanding of auto-correlation and cross-correlation of discrete-time signals.

Question 1 of 3

Q1.The auto-correlation sequence R_xx[l] of a real energy signal x[n] is defined as the sum over n of x[n]*x[n-l]. What is the value of R_xx[0] and what does it represent?

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

Convolution Sum

Linear convolution calculation.

8 min read

DTFT Overview

Discrete Time Fourier Transform properties.

11 min read

Difference Equations

Z-Transform Definition

Contents