tailieunhanh - Bài giảng Xử lý tín hiệu số: Chương 3 - TS. Hà Hoàng Kha

Bài giảng "Xử lý tín hiệu số - Chapter 3: Discrete - time systems" gồm có những nội dung chính sau: Input/ output relationship of the systems, linear time - invariant systems, FIR and IIR filters, causali and stability of the systems. Mời các bạn cùng tham khảo. | Chapter p 3 Discrete-Time Systems Ha Hoang Kha to edit Master subtitle style Ho Chi Minh City University of Technology @ Email hhkha@ https tailieudientucntt Content Input output I t t t relationship l ti hi off the th systems t Linear time-invariant time invariant LTI systems convolution FIR andd IIR filters fil Causality C li and d stability bili off the h systems Ha H. Kha 2 Discrete-Time Systems https tailieudientucntt 1. Discrete-time signal The discrete-time signal x n is obtained from sampling an analog signal x t t . i e x n x nT n nT where here T is the sampling period. period There are some representations of the discrete-time signal x n x n Graphical representation 4 Function 1 for n 1 3 1 1 x n 4 for n 2 0 1 1 elsewhere l h 0 1 2 3 4 n n 2 1 0 1 2 3 4 5 Table T bl x n 0 0 0 1 4 1 0 0 Sequence q x n 0 0 1 4 1 0 0 1 4 1 Ha H. Kha 3 Discrete-Time Systems https tailieudientucntt Some elementary of discrete-time signals Unit sample sequence unit impulse 1 for n 0 δ n 0 for n 0 Unit step signal 1 f n 0 for u n 0 for n lt 0 Ha H. Kha 4 Discrete-Time Systems https tailieudientucntt 2. Input output rules A discrete-time system is a processor that transform an input seq ence x n sequence n into an output o tp t sequence seq ence y n . n Fig Discrete-time system Sample-by-sample Sample by sample processing that is and so on. Block processing Ha H. Kha 5 Discrete-Time Systems https tailieudientucntt Basic building blocks of DSP systems Constant multiplier p x n y n ax n Delay D l x n y n x n D x2 n n Adder dde x1 n y n x1 n x2 n x2 n Signal multiplier x1 n y n x1 n x2 n Ha H. Kha 6 Discrete-Time Systems https tailieudientucntt Example Let x n 1 3 2 5 . Find the output p and plot p the graph g p for the systems with input out rules as follows a y n 2x n y b y n x n-4 c y n x