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Digital Signal Processing
Chapter 1: Introduction
Vinh Pham-Xuan
Ho Chi Minh city University of Technology
Department of Telecommunications
Digital signal processing Chapter 1
1. Signals, Systems and Signal Processing
A signal is defined as any physical quantity that varies with time, space, or any other independent variable or variables.
• Signals vary with independent variable
Ex: 𝑠 𝑡 = −𝑡3 − 2𝑡2 + 6𝑡 + 1
This signal is completely described by a specific function with respect to time
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Digital signal processing Chapter 1
1. Signals, Systems and Signal Processing
A signal is defined as any physical quantity that varies with time, space, or any other independent variable or variables.
• Signals vary with time
Ex: speech signal
No functional relationship to describe the signal
3
Digital signal processing Chapter 1
1. Signals, Systems and Signal Processing
A signal is defined as any physical quantity that varies with time, space, or any other independent variable or variables.
• Signals vary with space
Ex: electromagnetic field within a room
The function describing the signal is complicated.
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Digital signal processing Chapter 1
1. Signals, Systems and Signal Processing
A signal is defined as any physical quantity that varies with time, space, or any other independent variable or variables.
• Signals vary with dimensions
Ex: the RGB value of an image
The function describing the signal is complicated.
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Digital signal processing Chapter 1
1. Signals, Systems and Signal Processing
System: is to change/extract information from the input signal
Analog signal system
Digital signal system
Analog signal processor
Analog input signal
Analog output signal
Digital signal processor
Analog input signal
Analog output signal
A/Dconverter
D/Aconverter
Digital input signal
Digital output signal
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Digital signal processing Chapter 1
2. Advantages/Disadvantages of DSP
Signal processing:
Advantages of digital signal processing over analog signal processing
- Flexibility: the reconfiguration of digital programmable system may only require the change of the program while it implies a redesign of the hardware in analog systems.
- Accuracy: it is easier to control the accuracy of digital system as compared to analog systems.
- Storage: digital signals are easily stored without deterioration or loss of signal fidelity.
- Cost: a digital implementation of the signal processing system is cheaper than its analog counterpart.
Disadvantages of digital signal processing
- Limited use in large bandwidth signals.
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Digital signal processing Chapter 1
Some applications:
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2. Advantages/Disadvantages of DSP
Digital signal processing Chapter 1
Some applications:
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2. Advantages/Disadvantages of DSP
Digital signal processing Chapter 1
Multichannel and multidimensional signals
A signal is called M-dimensional if its value is a function of M independentvariables.
Ex: the color TV picture is a three-channel, three-dimensional signal.
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3. Signal classification
Digital signal processing Chapter 1
a. Continuous-Time versus Discrete-Time signals
Continuous-time signal or analog signals are defined for every value oftime and they take on values in the continuous interval.
Discrete-time signal are defined only at certain specific values of time.These time instants need not be equidistant, but in practice they areusually taken at equally spaced intervals.
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3. Signal classification
Digital signal processing Chapter 1
b. Continuous-valued versus discrete-valued signals
The values of a continuous-time or discrete-time signal can be continuousor discrete.
Continuous-valued signals: all possible values on a finite or infinite range.
Discrete-valued signals: values from a finite set of possible values.
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3. Signal classification
Digital signal processing Chapter 1
Chapter 1: Introduction w1
Chapter 2: Sampling and signal reconstruction w2-4
Chapter 3: Discrete-time systems w5-6
Chapter 4: z-transform and analysis of linear systems w7-8
Chapter 5: DFT/FFT algorithms w9-11
Chapter 6: Digital filter realisation w12-13
Chapter 7: FIR/IIR digital filter design w14-15
References:
[1] J. G. Proakis and D. K. Manolakis, Digital Signal Processing, Prentice Hall, 4th ed., 2006.
[2] S. J. Orfanidis, Introduction to Signal Processing, Prentice Hall, 2010
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Module outline
Digital signal processing Chapter 1
Mid-term test: 20%
Homework: 20%
Final exam: 60%
Contact: Department of Telecommunications – 113 Block B3
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Assessment
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