Contents
- 1 What should be the minimum sample rate while sampling a continuous time signal?
- 2 What will be the minimum required sampling frequency to sample audio signal?
- 3 Which is the minimum sampling rate for a signal?
- 4 How is the sampling of a continuous time signal done?
- 5 How is the sampling theorem related to the Nyquist frequency?
What should be the minimum sample rate while sampling a continuous time signal?
1/T
A continuous time-varying 1-D signal is sampled by narrow sampling pulses at a regular rate fr = 1/T, which must be at least twice the bandwidth of the signal.
What will be the minimum required sampling frequency to sample audio signal?
As an example, humans can detect or hear frequenies in the range of 20 Hz to 20,000 Hz. If we were to store sound, like music, to a CD, the audio signal must be sampled at a rate of at least 40,000 Hz to reproduce the 20,000 Hz signal. A standard CD is sampled at 44,100 times per second, or 44.1 kHz.
What is sampling of continuous time signal?
In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave (a continuous signal) to a sequence of samples (a discrete-time signal). A sampler is a subsystem or operation that extracts samples from a continuous signal.
Which is the minimum sampling rate for a signal?
The sampling theorem states that a band-limited continuous-time signal, with highest frequency (or bandwidth) equal to B Hz, can be recovered from its samples provided that the sampling frequency, denoted by Fs, is greater than or equal to 2B Hz (or samples per second). The minimum sampling rate is often called the Nyquist rate.
How is the sampling of a continuous time signal done?
To process such a signal using digital signal processing techniques, the signal must be converted into a sequence of numbers. This can be done through the process of periodic sampling. Consider a band-limited continuous-time signal s(t) s ( t) and its frequency domain representation S(F) S ( F) with bandwidth B B, shown in the above Figure.
Which is the highest frequency in a continuous time signal?
Therefore, a band-limited continuous-time signal with highest frequency (or bandwidth) B B Hz can be uniquely recovered from its samples provided that the sample rate F S ≥2B F S ≥ 2 B samples/second. The frequency 2B 2 B is called the Nyquist rate while 0.5F S 0.5 F S is called the Nyquist frequency or folding frequency.
The frequency 2B 2 B is called the Nyquist rate while 0.5F S 0.5 F S is called the Nyquist frequency or folding frequency. Sampling theorem is one of the two most fundamental relations in digital signal processing, the other being the relationship between continuous and discrete frequencies.