Howtosignalprocessing
- What is the minimum sample frequency needed to reconstruct an analog signal?
- What is the formula for signal reconstruction interpolation?
- How do you reconstruct a signal from its samples?
- What is bandlimited interpolation?
What is the minimum sample frequency needed to reconstruct an analog signal?
The Sampling Theorem states that a signal can be exactly reproduced if it is sampled at a frequency F, where F is greater than twice the maximum frequency in the signal. The sampling rate for an analog signal must be at least two times as high as the highest frequency in the analog signal in order to avoid aliasing.
What is the formula for signal reconstruction interpolation?
x(t)=∞∑n=−∞xs(n)sinc(t/Ts−n). This perfect reconstruction formula is known as the Whittaker-Shannon interpolation formula and is sometimes also called the cardinal series.
How do you reconstruct a signal from its samples?
The reconstruction process consists of replacing each sample by a sinc function, centered at the time of the sample and scaled by the sample value x(nT) times 2fc/ fs and adding all the functions so created. Suppose the signal is sampled at exactly Nyquist rate fs= 2fm, Then fm= fs/2 = fs- fm and Fm= 1/2 = 1- Fm.
What is bandlimited interpolation?
Bandlimited interpolation of discrete-time signals is a basic tool having extensive application in digital signal processing. In general, the problem is to correctly compute signal values at arbitrary continuous times from a set of discrete-time samples of the signal amplitude.
