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List of Contents of this article:

• 1,OKX downloadKneeling for the summary of Signal and Linear System Analysis
• 2, Signal and System Formula
• 3, Signal and system?
• 4, [Signal and System] Nine major properties of three transformations

Signal and System Formula

1. The method of finding the poles of the signal and system function Find the zero point of the system function and Polar formula: G(s)=C(s)/R(s). In the signal processing system, when the system input amplitude is not zero and the input frequency makes the system output zero, this input frequency value is zero.

2. The summation formula of the signal and the system is as follows: the corresponding convergence domain must be added, otherwise the formula is meaningless (the result may not be valid). One-sided is more useful, because it can be used to calculate zero state and zero input.

3. In Oppenheimer's Signals and Systems, the underlined formula is the convolutional formula. Convolution is a basic operation in signal processing and system analysis, which is used to describe the interaction between two signals at a certain point in time.

4, e^-j(wt+φ)=cos(wt+φ)-jsin(wt+φ); e^j(wt+φ)=cos(wt+φ)+jsin(wt+φ); the two formulas are added together, and the two formulas are subtracted to get the above two formulas; the following two are very obvious Right.

5, =T[ δ(n-k)]; because the system is linear, the above formula can be written as y(n)=T[δ(n-k)]; and because the system is time-invariant, there is T[δ(n-k)]=h(n-k). Thus get y(n)=h(n-k)=x(n)*h(n); this formula is called linear convolution, represented by "*".

6, productization and difference, and then the power of the sine cosine signal is (A^2)/2.

Signal and system?

1. Signal and System is a professional basic course for undergraduate majors in electronic information. The main studies include: description and classification of signals, description and classification of systems, transmission and processing of signals, analysis methods of systems, and applications of signals and systems.

2. A signal is a function of a single or multiple independent variables, and generally speaking, it contains information about the process and characteristics of a phenomenon, and the system generates other signals in response to a specific signal.

3. Signal and System is a professional basic course in the undergraduate stage of electronic information. Students learn the basic concepts, basic theories and basic analysis methods described in this course, and use these classical theories to analyze, interpret and calculate the problems of signals, systems and their mutual constraints.

4. Reference books include not only Signals and Systems but also Digital Circuits. In addition, it is compulsory mathematics. The following are the examination subjects of various colleges and universities. The basic review is combined with the video and the textbook. You can choose to watch the video of Guo Baolong of Western Power, and you can have a deeper understanding of many knowledge points.

5. In the theory of digital signal processing, people call the entity that can process and transform digital signals a system.

[Signal and System] Three Transformations and Nine Properties

1. Z-transformation is a mathematical transformation of discrete sequences, which is often used to find linear invariance. The solution of the differential equation. Its status in discrete systems is like that of Laplace transform in continuous systems.

2. The Laplace transform is an extension of the Fourier transform. The Fourier transform is a special case of the Laplace transform, and the z transform is the extension of the discrete Fourier transform on the complex plane. Fourier transform is the most basic transformation, which is derived from the Fourier series.

3. Zero input response and zero state response, system imult response method, use convolution to find the zero state response of the system, the diagram method of convolution, and the properties of convolution.