that is, it is applicable to both continuous-and discrete-timelinear systems. In this chapter, we study the convolution concept in the time domain. The slides contain the copyrighted material from Linear Dynamic Systems and Signals, Prentice Hall, …
9.6 Correlation of Discrete-Time Signals A signal operation similar to signal convolution, but with completely different physical meaning, is signal correlation. The signal correlation operation can be performed either with one signal (autocorrelation) or between two different signals (crosscorrelation).
14 S-Parameters 14.1 Scattering Parameters Linear two-port (and multi-port) networks are characterized by a number of equivalent circuit parameters, such as their transfer matrix, impedance matrix, admittance matrix,
signs. In fact, historically, these methods were first developed in antenna theory and only later were adopted and further developed in DSP. 22.2 Translational Phase Shift The most basic property of an array is that the relative displacements of the antenna ele-ments with respect to each other introduce relative phase shifts in the radiation ...
1.5 Discrete Linear Systems 12 1.6 Time-Invariant Systems 17 1.7 The Commutative Property of Linear Time-Invariant Systems 18 1.8 Analyzing Linear Time-Invariant Systems 19 References 21 Chapter 1 Problems 23 2 PERIODIC SAMPLING 33 2.1 Aliasing: Signal Ambiguity in the Frequency Domain 33 2.2 Sampling Lowpass Signals 38 2.3 Sampling Bandpass ...
digital video. One can obtain discrete-time signals by sampling continuous-time signals (i.e., by selecting only the values of the continuous-time signal at certain intervals). Just as with signals, we can consider continuous-time systems and discrete-time systems. Examples of the former include atmospheric, physical, electrical
Chapter 11 Sampling and Reconstruction Digital hardware, including computers, take actions in discrete steps. So they can deal with discrete-time signals, but they cannot directly handle the continuous-time signals that are prevalent in the physical world. This chapter is about the interface between these two worlds, one continuous, the other ...
9.6 Correlation of Discrete-Time Signals A signal operation similar to signal convolution, but with completely different physical meaning, is signal correlation. The signal correlation operation can be performed either with one signal (autocorrelation) or between two different signals (crosscorrelation).
CHAPTER 7 EQUATION 7-1 The delta function is the identity for convolution. Any signal convolved with ... This is the goal of systems that transmit or store signals. b. Amplification & Attenuation ... discrete signals the same as differentiation and integration are used with continuous signals.
10.2 Multilevel Differential Phase-Shift Keying Multilevel phase-shift keying (M-PSK) is a type of digital modulation format whereby information is encoded into discrete changes D/ k of the phase of the carrier at time instants equal to multiples of the symbol period [26, 29]. Since
4.1 Chapter 4: Discrete-time Fourier Transform (DTFT) 4.1 DTFT and its Inverse Forward DTFT: The DTFT is a transformation that maps Discrete-time (DT) signal x[n] into a complex valued function of the real variable w, namely: −= ∑ ∈ℜ ∞ =−∞
Chapter 2: Introduction to Point Processes I. Point processes are used to describe data that are localized in space or time In Chapter 1, we saw an example of neuronal activity in the supplemental eye field (SEF) expressed in terms of a raster plot and a peri-stimulus time histogram (Fig. 1.1).