Number of Samples Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Samples = Maximum Frequency/Sampling Frequency
Ns = fm/fs
This formula uses 3 Variables
Variables Used
Number of Samples - The Number of Samples of a discrete-time signal is the total samples in the output sample signal.
Maximum Frequency - (Measured in Hertz) - Maximum Frequency is the highest frequency of a band-limited continuous-time signal.
Sampling Frequency - (Measured in Hertz) - Sampling frequency is defined as the number of samples per second in a sound.
STEP 1: Convert Input(s) to Base Unit
Maximum Frequency: 0.153 Kilohertz --> 153 Hertz (Check conversion ​here)
Sampling Frequency: 0.3 Kilohertz --> 300 Hertz (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ns = fm/fs --> 153/300
Evaluating ... ...
Ns = 0.51
STEP 3: Convert Result to Output's Unit
0.51 --> No Conversion Required
FINAL ANSWER
0.51 <-- Number of Samples
(Calculation completed in 00.004 seconds)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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Number of Samples Formula

​LaTeX ​Go
Number of Samples = Maximum Frequency/Sampling Frequency
Ns = fm/fs

How number of samples of a signal is calculated?

Number of samples can be calculated as the sampling frequency of the signal divided by the input maximum frequency of the continuous signal. Here, the maximum frequency is also called Nyquest frequency and is determined as half of sampling frequency.

How to Calculate Number of Samples?

Number of Samples calculator uses Number of Samples = Maximum Frequency/Sampling Frequency to calculate the Number of Samples, Number of Samples of a discrete-time signal is the total samples of the output sample signal. It is determined in terms of the sampling frequency and the maximum frequency of the input signal. Number of Samples is denoted by Ns symbol.

How to calculate Number of Samples using this online calculator? To use this online calculator for Number of Samples, enter Maximum Frequency (fm) & Sampling Frequency (fs) and hit the calculate button. Here is how the Number of Samples calculation can be explained with given input values -> 0.51 = 153/300.

FAQ

What is Number of Samples?
Number of Samples of a discrete-time signal is the total samples of the output sample signal. It is determined in terms of the sampling frequency and the maximum frequency of the input signal and is represented as Ns = fm/fs or Number of Samples = Maximum Frequency/Sampling Frequency. Maximum Frequency is the highest frequency of a band-limited continuous-time signal & Sampling frequency is defined as the number of samples per second in a sound.
How to calculate Number of Samples?
Number of Samples of a discrete-time signal is the total samples of the output sample signal. It is determined in terms of the sampling frequency and the maximum frequency of the input signal is calculated using Number of Samples = Maximum Frequency/Sampling Frequency. To calculate Number of Samples, you need Maximum Frequency (fm) & Sampling Frequency (fs). With our tool, you need to enter the respective value for Maximum Frequency & Sampling Frequency 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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