M-Ary QAM Calculator

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✖M-ary PAM is An M-ary transmission is a type of digital modulation where instead of transmitting one bit at a time, two or more bits are transmitted simultaneously.ⓘ M-Ary PAM [P_√M]

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✖M-ary QAM (Quadrature Amplitude Modulation) is a modulation scheme used in wireless communication systems to transmit digital data over radio frequencies.ⓘ M-Ary QAM [P_√Q]

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Formula

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M-Ary QAM

Formula

`"P"_{"√Q"} = 1-(1-"P"_{"√M"})^2`

Example

`"0.99"=1-(1-"0.9")^2`

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M-Ary QAM Solution

STEP 0: Pre-Calculation Summary

Formula Used

M-Ary QAM = 1-(1-M-Ary PAM)^2
P_√Q = 1-(1-P_√M)^2
This formula uses 2 Variables

Variables Used

M-Ary QAM - M-ary QAM (Quadrature Amplitude Modulation) is a modulation scheme used in wireless communication systems to transmit digital data over radio frequencies.
M-Ary PAM - M-ary PAM is An M-ary transmission is a type of digital modulation where instead of transmitting one bit at a time, two or more bits are transmitted simultaneously.

STEP 1: Convert Input(s) to Base Unit

M-Ary PAM: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_√Q = 1-(1-P_√M)^2 --> 1-(1-0.9)^2

Evaluating ... ...

P_√Q = 0.99

STEP 3: Convert Result to Output's Unit

0.99 --> No Conversion Required

FINAL ANSWER

0.99 <-- M-Ary QAM

(Calculation completed in 00.004 seconds)

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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)

Maximum Doppler Shift

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

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

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

M-Ary QAM Formula

M-Ary QAM = 1-(1-M-Ary PAM)^2
P_√Q = 1-(1-P_√M)^2

What are the advantages of M-ary PAM consider m 2?

It has better performance than ASK and FSK. Minimal phase estimation error at the receiver. The bandwidth efficiency of M-ary PSK decreases and the power efficiency increases with the increase in M.

How to Calculate M-Ary QAM?

M-Ary QAM calculator uses M-Ary QAM = 1-(1-M-Ary PAM)^2 to calculate the M-Ary QAM, The M-ary QAM formula is defined as an M-ary transmission is a type of digital modulation where instead of transmitting one bit at a time, two or more bits are transmitted simultaneously. M-Ary QAM is denoted by P_√Q symbol.

How to calculate M-Ary QAM using this online calculator? To use this online calculator for M-Ary QAM, enter M-Ary PAM (P_√M) and hit the calculate button. Here is how the M-Ary QAM calculation can be explained with given input values -> 0.99 = 1-(1-0.9)^2.

FAQ

What is M-Ary QAM?

The M-ary QAM formula is defined as an M-ary transmission is a type of digital modulation where instead of transmitting one bit at a time, two or more bits are transmitted simultaneously and is represented as P_√Q = 1-(1-P_√M)^2 or M-Ary QAM = 1-(1-M-Ary PAM)^2. M-ary PAM is An M-ary transmission is a type of digital modulation where instead of transmitting one bit at a time, two or more bits are transmitted simultaneously.

How to calculate M-Ary QAM?

The M-ary QAM formula is defined as an M-ary transmission is a type of digital modulation where instead of transmitting one bit at a time, two or more bits are transmitted simultaneously is calculated using M-Ary QAM = 1-(1-M-Ary PAM)^2. To calculate M-Ary QAM, you need M-Ary PAM (P_√M). With our tool, you need to enter the respective value for M-Ary PAM 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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