Delay Spread Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Frequency Reuse Concept

Cellular Concepts

Data Analysis

Data Transmissions and Error Analysis

Mobile Radio Propogation

✖Coherence bandwidth Fading is refers to the variation in signal strength and quality across different frequency components of a transmitted signal.ⓘ Coherence Bandwidth Fading [B_fad]

+10%

-10%

✖Delay Spread is a modulation technique used in CDMA systems to enable multiple users to share the same frequency band efficiently while maintaining their signal integrity and minimizing interference.ⓘ Delay Spread [Δ]

⎘ Copy

👎

Formula

✖

Delay Spread

Formula

`"Δ" = 1/(2*3.14*"B"_{"fad"})`

Example

`"1.020741s"=1/(2*3.14*"0.000156kHz")`

Calculator

LaTeX

Reset

👍

Download Frequency Reuse Concept Formulas PDF

Delay Spread Solution

STEP 0: Pre-Calculation Summary

Formula Used

Delay Spread = 1/(2*3.14*Coherence Bandwidth Fading)
Δ = 1/(2*3.14*B_fad)
This formula uses 2 Variables

Variables Used

Delay Spread - (Measured in Second) - Delay Spread is a modulation technique used in CDMA systems to enable multiple users to share the same frequency band efficiently while maintaining their signal integrity and minimizing interference.
Coherence Bandwidth Fading - (Measured in Hertz) - Coherence bandwidth Fading is refers to the variation in signal strength and quality across different frequency components of a transmitted signal.

STEP 1: Convert Input(s) to Base Unit

Coherence Bandwidth Fading: 0.000156 Kilohertz --> 0.156 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δ = 1/(2*3.14*B_fad) --> 1/(2*3.14*0.156)

Evaluating ... ...

Δ = 1.02074146660134

STEP 3: Convert Result to Output's Unit

1.02074146660134 Second --> No Conversion Required

FINAL ANSWER

1.02074146660134 ≈ 1.020741 Second <-- Delay Spread

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Wireless Communication » Frequency Reuse Concept » Delay Spread

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 16 Frequency Reuse Concept Calculators

RMS Delay Spread

Go RMS Delay Spread = sqrt(Variance Mean Excess Delay-(Mean Excess Delay)^2)

Symbol Time Period

Go Symbol Time = (Forward Frame-(Time Slots+Reverse Frame))/44

Carrier Frequency using Maximum Doppler Shift

Go Carrier Frequency = (Maximum Doppler Shift*[c])/Velocity

Maximum Doppler Shift

Go Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency

Reverse Frame

Go Reverse Frame = Forward Frame-(Time Slots+44*Symbol Time)

Time Slots

Go Time Slots = Forward Frame-(Reverse Frame+44*Symbol Time)

Forward Frame

Go Forward Frame = Time Slots+Reverse Frame+44*Symbol Time

Maximum Excess Delay

Go Maximum Excess Delay = Excess Delay Spread-First Arriving Signal

Channel Reuse Ratio

Go Co Channel Reuse Ratio = sqrt(3*Frequency Reuse Pattern)

M-Ary PAM

Go M-Ary PAM = 1-sqrt(1-M-Ary QAM)

Coherence Bandwidth for Random Phases of Two Received Signals

Go Coherence Bandwidth Random Phase = 1/(4*3.14*Delay Spread)

Coherence Bandwidth for Two Fading Amplitudes of Two Received Signals

Go Coherence Bandwidth Fading = 1/(2*3.14*Delay Spread)

Delay Spread

Go Delay Spread = 1/(2*3.14*Coherence Bandwidth Fading)

Coherence Bandwidth for Multipath Channel

Go Coherence Bandwidth = 1/(5*RMS Delay Spread)

Coherence Time

Go Coherence Time = 0.423/Maximum Doppler Shift

M-Ary QAM

Go M-Ary QAM = 1-(1-M-Ary PAM)^2

Delay Spread Formula

Delay Spread = 1/(2*3.14*Coherence Bandwidth Fading)
Δ = 1/(2*3.14*B_fad)

What are the effects of delay spread?

Frequency-selective fading caused by multipath time delay spread degrades digital communication channels by causing intersymbol interference, thus resulting in an irreducible BER and imposing a upper limit on the data symbol rate.

How to Calculate Delay Spread?

Delay Spread calculator uses Delay Spread = 1/(2*3.14*Coherence Bandwidth Fading) to calculate the Delay Spread, The Delay Spread formula is defined as In the mobile radio environment, as a result of the multipath reflection phenomenon, the signal transmitted from a cell site and arriving at a mobile unit will be from different paths. Delay Spread is denoted by Δ symbol.

How to calculate Delay Spread using this online calculator? To use this online calculator for Delay Spread, enter Coherence Bandwidth Fading (B_fad) and hit the calculate button. Here is how the Delay Spread calculation can be explained with given input values -> 1.020741 = 1/(2*3.14*0.156).

FAQ

What is Delay Spread?

The Delay Spread formula is defined as In the mobile radio environment, as a result of the multipath reflection phenomenon, the signal transmitted from a cell site and arriving at a mobile unit will be from different paths and is represented as Δ = 1/(2*3.14*B_fad) or Delay Spread = 1/(2*3.14*Coherence Bandwidth Fading). Coherence bandwidth Fading is refers to the variation in signal strength and quality across different frequency components of a transmitted signal.

How to calculate Delay Spread?

The Delay Spread formula is defined as In the mobile radio environment, as a result of the multipath reflection phenomenon, the signal transmitted from a cell site and arriving at a mobile unit will be from different paths is calculated using Delay Spread = 1/(2*3.14*Coherence Bandwidth Fading). To calculate Delay Spread, you need Coherence Bandwidth Fading (B_fad). With our tool, you need to enter the respective value for Coherence Bandwidth Fading 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