Number of Samples Calculator

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Modulation Parameters

Modulation Techniques

✖Maximum Frequency is the highest frequency of a band-limited continuous-time signal.ⓘ Maximum Frequency [f_m]			+10% -10%
✖Sampling frequency is defined as the number of samples per second in a sound.ⓘ Sampling Frequency [f_s]			+10% -10%

✖The Number of Samples of a discrete-time signal is the total samples in the output sample signal.ⓘ Number of Samples [N_s]

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Formula

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Number of Samples

Formula

`"N"_{"s"} = "f"_{"m"}/"f"_{"s"}`

Example

`"0.51"="0.153kHz"/"0.3kHz"`

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Number of Samples Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Samples = Maximum Frequency/Sampling Frequency
N_s = f_m/f_s
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

N_s = f_m/f_s --> 153/300

Evaluating ... ...

N_s = 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 00.020 seconds)

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Created by Akshada Kulkarni

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

Number of Samples Formula

Number of Samples = Maximum Frequency/Sampling Frequency
N_s = f_m/f_s

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 N_s symbol.

How to calculate Number of Samples using this online calculator? To use this online calculator for Number of Samples, enter Maximum Frequency (f_m) & Sampling Frequency (f_s) 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 N_s = f_m/f_s 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 (f_m) & Sampling Frequency (f_s). 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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