CS 73 - DIGITAL SIGNAL PROCESSING

IMPORTANT FORMULAS,RESULTS

UNIT: I-SIGNALS AND SYSTEMS

Some Elementary Discrete Time Signals:

Unit Sample Sequence Unit Step signal

Unit Ramp Signal Exponential signal

Classification of Discrete-Time Signals:

Energy Signal Power Signal

Periodic Signal:

Symmetric(even) Antisymmetric (odd)

Block Diagram Representation of DT systems

Adder constant multiplier

Signal multiplier Unit Delay element

Classification of Discrete-Time Systems:

Static Dynamic

Time invariant

Time Variant:

Linear & Non-linear Systems

Linear

Non-Linear

Causal & Non-causal systems:

Causal

Non-causal

Stable & Unstable system:

Stable:

Unstable:

Analog to Digital Converter:

Analysis of DT-LTI systems:

Convolution sum:

Cross Correlation:

Auto-correlation:

Z-TRANSFORM:

UNIT:II-FREQUENCY TRANSFORMATIONS

Symmetry property:

Circular Convolution in time domain :

For real valued signals,

UNIT:III-IIR FILTER

DIRECT FORM-I

CASCADE FORM

UNIT:IV-FIR FILTER

Frequency Sampling Method:

DIRECT FORM

CASCADE FORM

Frequency Sampling structure: