Continuous and Discrete Signals Jack Xin (Lecture) and J. Ernie Esser (Lab) ∗ Abstract Class notes on signals and Fourier transform. We now start considering discrete–time signals. The signal can be discrete or continuous, mono- or mulitdimensional, the observed values are real. A discrete–time signal is a function (real or complex valued) whose argument runs over the integers, rather than over the real line. The nonzero Fourier series coefficients for x(t) are Express x(t) in the form A digital signal is a signal that is constructed from a discrete set of waveforms of a physical quantity so as to represent a sequence of discrete values. It is used to represent data as a sequence of discrete values. A continuous signal or a continuous-time signal is a varying quantity (a signal) whose domain, which is often time, is a continuum (e.g., a connected interval of the reals). That is, all the digital signals are not discrete-time signals. That is, the function's domain is an uncountable set. ECE107 18 3 Continuous valued Versus Discrete valued Signals Continuous valued from ECE 107 at Mapúa Institute of Technology We shall use square brackets, as in x[n], for discrete–time signals and round parentheses, as in x(t), for continuous… Since it is a continuous field, it allow a lot of "signal-like" mathematical operations: addition, product, convolution, and a lot of properties related to limits. The digital signal can be a discrete or continuous-time signal. The function itself need not be continuous. Digital signal is an electrical signal that has discrete value at each and every sampling point. The set of real values $\mathbb{R}$ is quite interesting. The process of converting a continuous-valued discrete-time signal to a digital (discrete-valued discrete-time) signal is known as analog-to-digital conversion. A logic signal is a digital signal with only two possible values, and describes an arbitrary bit stream.Other types of digital signals can represent three-valued logic or higher valued logics. The signal can be complex valued. 1 Continuous Time Signals and Transform A continuous signal is a continuous function of time defined on the real line R denoted by s(t), t is time. A continuous-time periodic signal x(t) is real valued and has a fundamental period T = 8.