✖Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.ⓘ Channel Bandwidth [B]

+10%

-10%

✖The Nyquist rate is the minimum sampling rate needed to accurately represent a continuous-time signal in digital form. It is named after the Swedish-American engineer Harry Nyquist.ⓘ Nyquist Rate [N_r]

⎘ Copy

👎

Formula

✖

Nyquist Rate

Formula

`"N"_{"r"} = 2*"B"`

Example

`"6.8Hz"=2*"3.4Hz"`

Calculator

LaTeX

Reset

👍

Download Information Theory And Coding Formulas PDF PDF Image

Nyquist Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nyquist Rate = 2*Channel Bandwidth
N_r = 2*B
This formula uses 2 Variables

Variables Used

Nyquist Rate - (Measured in Hertz) - The Nyquist rate is the minimum sampling rate needed to accurately represent a continuous-time signal in digital form. It is named after the Swedish-American engineer Harry Nyquist.
Channel Bandwidth - (Measured in Hertz) - Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.

STEP 1: Convert Input(s) to Base Unit

Channel Bandwidth: 3.4 Hertz --> 3.4 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_r = 2*B --> 2*3.4

Evaluating ... ...

N_r = 6.8

STEP 3: Convert Result to Output's Unit

6.8 Hertz --> No Conversion Required

FINAL ANSWER

6.8 Hertz <-- Nyquist Rate

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Information Theory And Coding » Continuous Channels » Nyquist Rate

Credits

Created by Bhuvana

BMS collegeof engineering (BMSCE), Benagluru

Bhuvana has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 500+ more calculators!

< 10+ Continuous Channels Calculators

Channel Capacity

Go Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio)

Noise Power Spectral Density of Gaussian Channel

Go Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel

Noise Power of Gaussian Channel

Go Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth

Amount of Information

Go Amount of Information = log2(1/Probability of Occurrence)

Data Transfer

Go Data Transfer = (File Size*8)/Transfer Speed

Nth Extension Entropy

Go Nth Extension Entropy = Nth Source*Entropy

Information Rate

Go Information Rate = Symbol Rate*Entropy

Symbol Rate

Go Symbol Rate = Information Rate/Entropy

Maximum Entropy

Go Maximum Entropy = log2(Total Symbol)

Nyquist Rate

Go Nyquist Rate = 2*Channel Bandwidth

Nyquist Rate Formula

Nyquist Rate = 2*Channel Bandwidth
N_r = 2*B

What are the examples of nyquist bandwidth based on nyquist rate?

The optimal sample rate for the human ear is 40 kHz, The standard CD audio rate of 44.1 kHz was chosen to satisfy the Nyquist frequency, The Digital Audio Tape (DAT) format is similarly at 48 kHz.

What are the applications of Nyquist rate?

Signals are created and modified in electric guitars, guitar effect pedals, wireless microphones, and much more. Nyquist rate is used in the design of the receivers so that they can completely capture all of the information that would normally travel through a wire.

How to Calculate Nyquist Rate?

Nyquist Rate calculator uses Nyquist Rate = 2*Channel Bandwidth to calculate the Nyquist Rate, The Nyquist rate formula is defined as is the minimum rate at which a finite bandwidth signal needs to be sampled to retain all of the information. Nyquist Rate is denoted by N_r symbol.

How to calculate Nyquist Rate using this online calculator? To use this online calculator for Nyquist Rate, enter Channel Bandwidth (B) and hit the calculate button. Here is how the Nyquist Rate calculation can be explained with given input values -> 6.8 = 2*3.4.

FAQ

What is Nyquist Rate?

The Nyquist rate formula is defined as is the minimum rate at which a finite bandwidth signal needs to be sampled to retain all of the information and is represented as N_r = 2*B or Nyquist Rate = 2*Channel Bandwidth. Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.

How to calculate Nyquist Rate?

The Nyquist rate formula is defined as is the minimum rate at which a finite bandwidth signal needs to be sampled to retain all of the information is calculated using Nyquist Rate = 2*Channel Bandwidth. To calculate Nyquist Rate, you need Channel Bandwidth (B). With our tool, you need to enter the respective value for Channel Bandwidth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search