Skip to main content

BER vs SNR for M-ary QAM, M-ary PSK, QPSK, BPSK, ...(MATLAB Code + Simulator)


Bit Error Rate (BER) & SNR Guide

Analyze communication system performance with our interactive simulators and MATLAB tools.



What is Bit Error Rate (BER)?

The BER indicates how many corrupted bits are received compared to the total number of bits sent. It is the primary figure of merit for any digital communication link.

BER = (number of bits received in error) / (total number of transmitted bits)

What is Signal-to-Noise Ratio (SNR)?

SNR is the ratio of signal power to noise power, typically expressed in decibels (dB) to handle large variations in signal strength.

SNR (dB) = 10 * log10(Signal Power / Noise Power)

Example: An SNR of 3 dB means signal power is 2x stronger than noise.

Interactive BER Calculator

Calculate theoretical BER for PSK and QAM systems instantly.

M-ary PSK

---

M-ary QAM

---

Performance Comparison

BER vs. SNR Graph
Download MATLAB BER Code →
Technique Bits/Symbol
BPSK1
QPSK2
8-PSK3
16-QAM4
64-QAM6

๐Ÿ“š Also Read About

People are good at skipping over material they already know!

View Related Topics to







Contact Us

Name

Email *

Message *

Popular Posts

Online Simulator for ASK, FSK, and PSK

Try our new Digital Signal Processing Simulator!   •   Interactive ASK, FSK, and BPSK tools updated for 2025. Start Now Interactive Modulation Simulators Visualize binary modulation techniques (ASK, FSK, BPSK) in real-time with adjustable carrier and sampling parameters. ๐Ÿ“ก ASK Simulator ๐Ÿ“ถ FSK Simulator ๐ŸŽš️ BPSK Simulator ๐Ÿ“š More Topics ASK Modulator FSK Modulator BPSK Modulator More Topics Simulator for Binary ASK Modulation Digital Message Bits Carrier Freq (Hz) Sampling Rate (...

Constellation Diagrams of ASK, PSK, and FSK (with MATLAB Code + Simulator)

Constellation Diagrams: ASK, FSK, and PSK Comprehensive guide to signal space representation, including interactive simulators and MATLAB implementations. ๐Ÿ“˜ Overview ๐Ÿงฎ Simulator ⚖️ Theory ๐Ÿ“š Resources Definitions Constellation Tool Key Points MATLAB Code ๐Ÿ“‚ Other Topics: M-ary PSK & QAM Diagrams ▼ ๐Ÿงฎ Simulator for M-ary PSK Constellation ๐Ÿงฎ Simulator for M-ary QAM Constellation BASK (Binary ASK) Modulation Transmits one of two signals: 0 or -√Eb, where Eb​ is the energy per bit. These signals represent binary 0 and 1. BFSK (Binary FSK) Modulation Transmits one ...

Time / Frequency Separation for Orthogonality

๐Ÿ“˜ Theory ๐Ÿ“ Derivation ๐Ÿ“Š Examples ๐Ÿงฎ Simulator Try the Interactive BFSK / FM Simulator Visualize modulation and understand concepts faster. Launch BFSK Simulator Launch FM Simulator BFSK Orthogonality Simulator Derivation of Frequency Separation for Orthogonality Step 1: Define BFSK Signals Copy s₁(t) = √(2E b /T) cos(2ฯ€f₁t) Copy s₂(t) = √(2E b /T) cos(2ฯ€f₂t) Defined over: 0 ≤ t ≤ T For orthogonality: Copy ∫₀แต€ s₁(t)s₂(t) dt = 0 Step 2: Remove Constants Copy ∫₀แต€ cos(2ฯ€f₁t) cos(2ฯ€f₂t) dt = 0 Step 3: Use Trigonometric Identity Copy cos A cos B = ½ [ cos(A − B) + cos(A + B) ] Applying identity: Copy ½ ∫₀แต€ [ cos(2ฯ€(f₁ − f₂)t) + cos(2ฯ€(f₁ + f₂)t) ] dt Ste...

Online Simulator for Frequency Modulatiuon

Frequency Modulation Message Frequency (Hz): Generate Message Carrier Frequency (Hz): Generate Carrier Message Signal Amplitude: Carrier Signal Amplitude: Generate Modulated Signal Demodulate Further Reading  Amplitude Modulation Simulator Phase Modulation Simulator  Explore DSP Simulations   Online Signal Processing Simulations Home Page >

UGC NET Electronic Science Previous Year Question Papers

Home / Engineering & Other Exams / UGC NET 2022 PYQ ๐Ÿ“ฅ Download UGC NET Electronics PDFs Complete collection of previous year question papers, answer keys and explanations for Subject Code 88. Start Downloading UGC-NET (Electronics Science, Subject code: 88) Subject_Code : 88; Department : Electronic Science; ๐Ÿ“‚ View All Question Papers UGC Net Electronic Science Question Paper With Answer Key Download Pdf [June 2025] with full explanation UGC Net Electronic Science Question Paper With Answer Key Download Pdf [December 2024] UGC Net Paper 1 With Answer Key Download Pdf [Sep 2024] with full explanation UGC Net Electronic Science Question Paper With Answer Key Download Pdf [Aug 2024] with full explanation UGC Net Paper 1 With Answer Key Download...

FM Modulation Online Simulator

Frequency Modulation Simulator Message Frequency (fm): Hz Carrier Frequency (fc): Hz Carrier Amplitude (Ac): Modulation Index (ฮฒ): Frequency deviation ฮ”f = ฮฒ × fm Online Signal Processing Simulations Home Page >

Theoretical vs. simulated BER vs. SNR for ASK, FSK, and PSK (MATLAB Code + Simulator)

๐Ÿ“˜ Overview ๐Ÿงฎ Simulator for calculating BER ๐Ÿงฎ MATLAB Codes for calculating theoretical BER ๐Ÿงฎ MATLAB Codes for calculating simulated BER ๐Ÿ“š Further Reading BER vs. SNR denotes how many bits in error are received for a given signal-to-noise ratio, typically measured in dB. Common noise types in wireless systems: 1. Additive White Gaussian Noise (AWGN) 2. Rayleigh Fading AWGN adds random noise; Rayleigh fading attenuates the signal variably. A good SNR helps reduce these effects. Simulator for calculating BER vs SNR for binary ASK, FSK, and PSK Calculate BER for Binary ASK Modulation Enter SNR (dB): Calculate BER Calculate BER for Binary FSK Modulation Enter SNR (dB): Calculate BER Calculate BER for Binary PSK Modulation Enter SNR (dB): Calculate BER BER vs. SNR Curves MATLAB Code for Theoretical BER % The code is written by SalimWireless.Com clc; clear; close all; % SNR va...