In signal processing, sampling is the reduction of a continuous signal to a discrete signal. A common example is the conversion of a sound wave (a continuous-time signal) to a sequence of samples (a discrete-tim
欠采样和稀疏信号恢复(UNDERSAMPLING AND SPARSE SIGNAL RECOVERY) 理想情况下,我们希望测量函数f的所有n个系数,但我们只能观察到这些系数的一个子集,并收集数据 $$ y_k = <f,\psi_k>,k \in M \tag{4} $$ 其中M \subset \{1,...,n\}是基的一个子集,其基数m<n。有了这些信息,我们决定通过l_1...
Indigital signal processing,downsampling,compression, anddecimationare terms associated with the process ofresamplingin amulti-rate digital signal processingsystem. Bothdownsamplinganddecimationcan be synonymous withcompression, or they can describe an entire process of bandwidth reduction (filtering) and sa...
Cite this chapter Signals and Systems Khalid Sayood Part of the book series:Synthesis Lectures on Signal Processing((SLSP)) 661Accesses Abstract Much of the processing nowadays is conducted in the digital domain. However, the signals being processed, voice, music, video, etc., are all analog. ...
Signal Processing 3-D Image Reconstruction 1 Introduction The Nyquist–Shannon sampling theorem is perhaps the most impactful result in the theory of signal processing, fundamentally shaping the practice of acquiring and processing data [1, 2] (also attributed to Kotel’nikov [3], Ferrar [4],...
For many signal processing applications a sample and hold function is required in a data acquisition system. It is often critical for the processing system to know the exact value of an analog input at an exact time. In DSP applications such as digital filters, the usable bandwidth of the sy...
According to signal processing theory, we need to do three things to compute final values for each of the pixels in the output image: Reconstruct a continuous image function \tilde{L} from the set of image samples. Prefilter the function \tilde{L} to remove any frequencies past the Nyquist...
13.2 Signal acquisition Continuous-time signals have values for any given time [55]. In order to apply digital processing techniques to this signal, it is necessary to sample it first. The sampling process acquires the signal at equally spaced time steps. The distance between samples is defined...
Thus, if the signal is sampled twice during each period of the highest frequency in the signal, we have converted the signal to digital form for further processing (by a computer, for example) and for transmission. The Nyquist criterion guarantees us that the sampled signal νs which is a ...
Modern pulse compression radar involves digital signal processing of high bandwidth pulses modulated with different coding schemes. One of the limiting factors in the radar’s design to achieve desired target range and resolution is the need of high rate analog-to-digital (A/D) conversion fulfilling...