Digital Modulations using Python

Essentials of Signal Processing
	Generating standard test signals
		Sinusoidal signals
		Square wave
		Rectangular pulse
		Gaussian pulse
		Chirp signal
	Interpreting FFT results - complex DFT, frequency bins and FFTShift
		Real and complex DFT
		Fast Fourier Transform (FFT)
		Interpreting the FFT results
		FFTShift
		IFFTShift
		Some observations on FFTShift and IFFTShift
	Obtaining magnitude and phase information from FFT
		Discrete-time domain representation
		Representing the signal in frequency domain using FFT
		Reconstructing the time domain signal from the frequency domain samples
	Power spectral density
	Power and energy of a signal
		Energy of a signal
		Power of a signal
		Classification of signals
		Computation of power of a signal - simulation and verification
	Polynomials, convolution and Toeplitz matrices
		Polynomial functions
		Representing single variable polynomial functions
		Multiplication of polynomials and linear convolution
		Toeplitz matrix and convolution
	Methods to compute convolution
		Method 1: Brute-force method
		Method 2: Using Toeplitz matrix
		Method 3: Using FFT to compute convolution
		Miscellaneous methods
	Analytic signal and its applications
		Analytic signal and Fourier transform
		Applications of analytic signal
	Choosing a filter : FIR or IIR : understanding the design perspective
		Design specification
		General considerations in design
	References
Digital Modulators and Demodulators - Passband Simulation Models
	Introduction
	Binary Phase Shift Keying (BPSK)
		BPSK transmitter
		BPSK receiver
		End-to-end simulation
	Coherent detection of Differentially Encoded BPSK (DEBPSK)
	Differential BPSK (D-BPSK)
		Sub-optimum receiver for DBPSK
		Optimum non-coherent receiver for DBPSK
	Quadrature Phase Shift Keying (QPSK)
		QPSK transmitter
		QPSK receiver
		Performance simulation over AWGN
	Offset QPSK (O-QPSK)
	π/4-DQPSK
	Continuous Phase Modulation (CPM)
		Motivation behind CPM
		Continuous Phase Frequency Shift Keying (CPFSK) modulation
		Minimum Shift Keying (MSK)
	Investigating phase transition properties
	Power spectral density (PSD) plots
	Gaussian Minimum Shift Keying (GMSK)
		Pre-modulation Gaussian low pass filter
		Quadrature implementation of GMSK modulator
		GMSK spectra
		GMSK demodulator
		Performance
	Frequency Shift Keying (FSK)
		Binary-FSK (BFSK)
		Orthogonality condition for non-coherent BFSK detection
		Orthogonality condition for coherent BFSK
		Modulator
		Coherent demodulator
		Non-coherent demodulator
		Performance simulation
		Power spectral density
	References
Digital Modulators and Demodulators - Complex Baseband Equivalent Models
	Introduction
	Complex baseband representation of modulated signal
	Complex baseband representation of channel response
	Implementing complex baseband modems using object oriented programming
		Pulse Amplitude Modulation (M-PAM) modem
		Phase Shift Keying Modulation (M-PSK) modem
		Quadrature Amplitude Modulation (M-QAM) modem
		Optimum detector on IQ plane using minimum Euclidean distance
		M-ary Frequency Shift Keying modem
	Instantiation of modems
	References
Performance of Digital Modulations over Wireless Channels
	AWGN channel
		Signal to noise ratio (SNR) definitions
		AWGN channel model
		Theoretical symbol error rates
		Unified simulation model for performance simulation
	Fading channels
		Linear time invariant channel model and FIR filters
		Simulation model for detection in flat fading channel
		Rayleigh flat-fading channel
		Rician flat-fading channel
	References
Linear Equalizers
	Introduction
	Linear equalizers
	Symbol-spaced linear equalizer channel model
	Implementing equalizers using object oriented programming
	Zero-forcing equalizer
		Least squares solution
		Noise enhancement
		Design and simulation of zero-forcing equalizer
		Drawbacks of zero-forcing equalizer
	Minimum mean square error (MMSE) equalizer
		Alternate solution
		Design and simulation of MMSE equalizer
	Equalizer delay optimization
	BPSK modulation with zero-forcing and MMSE equalizers
	Adaptive equalizer: Least mean square (LMS) algorithm
	References
Receiver Impairments and Compensation
	Introduction
	DC offsets and compensation
	IQ imbalance model
	IQ imbalance estimation and compensation
		Blind estimation and compensation
		Pilot based estimation and compensation
	Visualizing the effect of receiver impairments
	Performance of M-QAM modulation with receiver impairments
	References