Maximum Excess Delay Calculator

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✖Excess delay spread refers to the spread of arrival times of multipath components in a received signal. dB.ⓘ Excess Delay Spread [τ_x]			+10% -10%
✖First Arriving Signal refers to the initial signal that reaches a receiver from a transmitter in a wireless communication system.ⓘ First Arriving Signal [τ₀]			+10% -10%

✖Maximum Excess Delay refers to the maximum amount of time by which a signal is delayed beyond its expected arrival time.ⓘ Maximum Excess Delay [X]

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Formula

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Maximum Excess Delay

Formula

`"X" = "τ"_{"x"}-"τ"_{"0"}`

Example

`"7.65dB"="14dB"-"6.35dB"`

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Maximum Excess Delay Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Excess Delay = Excess Delay Spread-First Arriving Signal
X = τ_x-τ₀
This formula uses 3 Variables

Variables Used

Maximum Excess Delay - (Measured in Decibel) - Maximum Excess Delay refers to the maximum amount of time by which a signal is delayed beyond its expected arrival time.
Excess Delay Spread - (Measured in Decibel) - Excess delay spread refers to the spread of arrival times of multipath components in a received signal. dB.
First Arriving Signal - (Measured in Decibel) - First Arriving Signal refers to the initial signal that reaches a receiver from a transmitter in a wireless communication system.

STEP 1: Convert Input(s) to Base Unit

Excess Delay Spread: 14 Decibel --> 14 Decibel No Conversion Required
First Arriving Signal: 6.35 Decibel --> 6.35 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X = τ_x-τ₀ --> 14-6.35

Evaluating ... ...

X = 7.65

STEP 3: Convert Result to Output's Unit

7.65 Decibel --> No Conversion Required

FINAL ANSWER

7.65 Decibel <-- Maximum Excess Delay

(Calculation completed in 00.004 seconds)

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< 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

Maximum Excess Delay Formula

Maximum Excess Delay = Excess Delay Spread-First Arriving Signal
X = τ_x-τ₀

What is multipath?

Multipath is the phenomenon of fluctuations in signal strength formed by incoherent combination of signals coming from different directions through reflection or scattering with the direct signal. These reflected or scattered signals have different amplitudes and phases compared to the one received directly.

What is the significance of delays?

These delays are measured relative to the first detectable signal arriving at the receiver. They are measured for the single power delay profile.

How to Calculate Maximum Excess Delay?

Maximum Excess Delay calculator uses Maximum Excess Delay = Excess Delay Spread-First Arriving Signal to calculate the Maximum Excess Delay, The Maximum Excess Delay formula is defined as power delay profile is defined to be the time delay during which multipath energy falls to X dB below the maximum. Maximum Excess Delay is denoted by X symbol.

How to calculate Maximum Excess Delay using this online calculator? To use this online calculator for Maximum Excess Delay, enter Excess Delay Spread (τ_x) & First Arriving Signal (τ₀) and hit the calculate button. Here is how the Maximum Excess Delay calculation can be explained with given input values -> 7.65 = 14-6.35.

FAQ

What is Maximum Excess Delay?

The Maximum Excess Delay formula is defined as power delay profile is defined to be the time delay during which multipath energy falls to X dB below the maximum and is represented as X = τ_x-τ₀ or Maximum Excess Delay = Excess Delay Spread-First Arriving Signal. Excess delay spread refers to the spread of arrival times of multipath components in a received signal. dB & First Arriving Signal refers to the initial signal that reaches a receiver from a transmitter in a wireless communication system.

How to calculate Maximum Excess Delay?

The Maximum Excess Delay formula is defined as power delay profile is defined to be the time delay during which multipath energy falls to X dB below the maximum is calculated using Maximum Excess Delay = Excess Delay Spread-First Arriving Signal. To calculate Maximum Excess Delay, you need Excess Delay Spread (τ_x) & First Arriving Signal (τ₀). With our tool, you need to enter the respective value for Excess Delay Spread & First Arriving Signal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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