Reconstruct Formula Record

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The reconstruction process consists of replacing each sample by a sync 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= 2 fm, Then FM= FS/2 = FS- FM and Fm= 1/2 = 1- Fm.
The reconstruction process consists of replacing each sample by a sync 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= 2 fm, Then FM= FS/2 = FS- FM and Fm= 1/2 = 1- Fm.
This will always result in a reconstructed signal that contains only frequencies between zero and the Nyquist frequency. If a continuous-time signal contains only frequencies below the Nyquist frequency FS/2, then it can be perfectly reconstructed from samples taken at sampling frequency FS.
Sampler. This is the technique which helps to collect the sample data at instantaneous values of message signal, to reconstruct the original 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 sample is a value or set of values at a point in time and/or space.
Reconstruction. Reconstruction is the process of creating an analog voltage (or current) from samples. A digital-to-analog converter takes a series of binary numbers and recreates the voltage (or current) levels that corresponds to that binary number. Then this signal is filtered by a low pass filter.
Sampling: Conversion of a continuous-time signal (usu- ally not quantized) to a discrete-time signal (usually quantized). Page 8. Ee 424 #1: sampling and reconstruction 8. Reconstruction: Conversion of a discrete-time signal (usually quantized) to a continuous-time signal.
Sampling: A continuous time signal can be processed by processing its samples through a discrete time system. For reconstructing the continuous time signal from its discrete time samples without any error, the signal should be sampled at a sufficient rate that is determined by the sampling theorem.
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