Digital Signal Processing In Telecommunications

I. INTRODUCTION TO COMMUNICATIONS THEORY. 1. Introductory Concepts. 2. Representation of Signals. 3. Linear Time Variant Systems. 4. Modulation. 5. Probability, Random Variables, and Stochastic Processes. 6. Filters. II. DIGITAL SIGNAL PROCESSING. 1. The Sampling Theorem. 2. Elementary A/D and D/A Conversion. 3. Discrete-Time Linear Time Invariant Systems. 4. Models for Digital Filters. 5. The Discrete Fourier Transform (DFT). 6. Fast Fourier Transform (FFT) Algorithms. 7. Design of Digital Filters. 8. Delta- Sigma-Modulation Techniques Applied to A/D and D/A Conversion. 9. The Least Mean Square Algorithm and Basic Adaptive Filters. 10. Fundamental Considerations in the Hardware Implementation of Digital Filters. III. APPLICATIONS OF DSP IN TELECOMMUNICATIONS. 1. The North American Hierarchy for Digital Signals. 2. Analog-to-Digital Conversion. 3. Linear Prediction and Speech Compression. 4. Implementation of Banks of Bandpass Filters. 5. The LMS Algorithm and Its Application in Echo Cancellers. 6. Waveform Generation.