Bit Rate of Raised Cosine Filter given Time Period Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bit Rate of Raised Cosine Filter = 1/Signal Time Period
Rs = 1/T
This formula uses 2 Variables
Variables Used
Bit Rate of Raised Cosine Filter - (Measured in Bit Per Second) - Bit rate of raised cosine filter is the number of bits that are conveyed or processed per unit of time.
Signal Time Period - (Measured in Second) - Signal Time Period refers to the time it takes for a periodic signal to complete one full cycle. It is the duration between successive occurrences of the same point or phase in the signal waveform.
STEP 1: Convert Input(s) to Base Unit
Signal Time Period: 7 Microsecond --> 7E-06 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rs = 1/T --> 1/7E-06
Evaluating ... ...
Rs = 142857.142857143
STEP 3: Convert Result to Output's Unit
142857.142857143 Bit Per Second -->142.857142857143 Kilobit per Second (Check conversion here)
FINAL ANSWER
142.857142857143 142.8571 Kilobit per Second <-- Bit Rate of Raised Cosine Filter
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Information Technology (NIIT), Neemrana
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11 Modulation Parameters Calculators

Quantization Step Size
Go Quantization Step Size = (Maximum Voltage-Minimum Voltage)/Number of Quantisation Levels
Bit Rate of Raised Cosine Filter using Rolloff Factor
Go Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor)
Attenuation given Voltage of 2 Signals
Go Attenuation = 20*(log10(Voltage 2/Voltage 1))
Attenuation given Power of 2 Signals
Go Attenuation = 10*(log10(Power 2/Power 1))
Number of Samples
Go Number of Samples = Maximum Frequency/Sampling Frequency
Bit Rate
Go Bit Rate = Sampling Frequency*Bit Depth
Bit Rate of Raised Cosine Filter given Time Period
Go Bit Rate of Raised Cosine Filter = 1/Signal Time Period
Signal to Noise Ratio
Go Signal to Noise Ratio = (6.02*Resolution of ADC)+1.76
Number of Quantization Levels
Go Number of Quantisation Levels = 2^Resolution of ADC
Nyquist Sampling Frequency
Go Sampling Frequency = 2*Message Signal Frequency
Bit Rate using Bit Duration
Go Bit Rate = 1/Bit Duration

Bit Rate of Raised Cosine Filter given Time Period Formula

Bit Rate of Raised Cosine Filter = 1/Signal Time Period
Rs = 1/T

What is raised cosine filter?

The raised-cosine filter is a filter frequently used for pulse-shaping in digital modulation due to its ability to minimize intersymbol interference (ISI). The raised-cosine filter is an implementation of a low-pass Nyquist filter, i.e., one that has the property of vestigial symmetry. This means that its spectrum exhibits odd symmetry about 1/2T, where T is the symbol-period or the time period of the communications system.

How to Calculate Bit Rate of Raised Cosine Filter given Time Period?

Bit Rate of Raised Cosine Filter given Time Period calculator uses Bit Rate of Raised Cosine Filter = 1/Signal Time Period to calculate the Bit Rate of Raised Cosine Filter, Bit Rate of Raised Cosine Filter given Time Period is the number of bits that are conveyed or processed per unit of time. In other words, it describes the rate at which bits are transferred from one location to another. Bit Rate of Raised Cosine Filter is denoted by Rs symbol.

How to calculate Bit Rate of Raised Cosine Filter given Time Period using this online calculator? To use this online calculator for Bit Rate of Raised Cosine Filter given Time Period, enter Signal Time Period (T) and hit the calculate button. Here is how the Bit Rate of Raised Cosine Filter given Time Period calculation can be explained with given input values -> 0.142857 = 1/7E-06.

FAQ

What is Bit Rate of Raised Cosine Filter given Time Period?
Bit Rate of Raised Cosine Filter given Time Period is the number of bits that are conveyed or processed per unit of time. In other words, it describes the rate at which bits are transferred from one location to another and is represented as Rs = 1/T or Bit Rate of Raised Cosine Filter = 1/Signal Time Period. Signal Time Period refers to the time it takes for a periodic signal to complete one full cycle. It is the duration between successive occurrences of the same point or phase in the signal waveform.
How to calculate Bit Rate of Raised Cosine Filter given Time Period?
Bit Rate of Raised Cosine Filter given Time Period is the number of bits that are conveyed or processed per unit of time. In other words, it describes the rate at which bits are transferred from one location to another is calculated using Bit Rate of Raised Cosine Filter = 1/Signal Time Period. To calculate Bit Rate of Raised Cosine Filter given Time Period, you need Signal Time Period (T). With our tool, you need to enter the respective value for Signal Time Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Bit Rate of Raised Cosine Filter?
In this formula, Bit Rate of Raised Cosine Filter uses Signal Time Period. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bit Rate of Raised Cosine Filter = (2*Bandwidth of Raised Cosine Filter)/(1+Rolloff Factor)
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