• Analysis of Local Field Potential and Gamma Rhythm Using Matching Pursuit Algorithm 

      Chandran, Subash K S (2017-11-17)
      Signals recorded from the brain often show rhythmic patterns at different frequencies, which are tightly coupled to the external stimuli as well as the internal state of the subject. These signals also have transient ...
    • Demodulation of Narrowband Speech Spectrograms 

      Aragonda, Haricharan (2017-11-22)
      Speech is a non-stationary signal and contains modulations in both spectral and temporal domains. Based on the type of modulations studied, most speech processing algorithms can be classified into short-time analysis ...
    • Generalized Analytic Signal Construction and Modulation Analysis 

      Venkitaraman, Arun (2018-04-02)
      This thesis deals with generalizations of the analytic signal (AS) construction proposed by Gabor. Functional extensions of the fractional Hilbert Transform (FrHT) are proposed using which families of analytic signals are ...
    • On Maximizing The Performance Of The Bilateral Filter For Image Denoising 

      Kishan, Harini (2017-07-07)
      We address the problem of image denoising for additive white Gaussian noise (AWGN), Poisson noise, and Chi-squared noise scenarios. Thermal noise in electronic circuitry in camera hardware can be modeled as AWGN. Poisson ...
    • Optimum Savitzky-Golay Filtering for Signal Estimation 

      Krishnan, Sunder Ram (2018-03-21)
      Motivated by the classic works of Charles M. Stein, we focus on developing risk-estimation frameworks for denoising problems in both one-and two-dimensions. We assume a standard additive noise model, and formulate the ...
    • Phase Retrieval and Hilbert Integral Equations – Beyond Minimum-Phase 

      Shenoy, Basty Ajay (2018-07-18)
      The Fourier transform (spectrum) of a signal is a complex function and is characterized by the magnitude and phase spectra. Phase retrieval is the reconstruction of the phase spectrum from the measurements of the magnitude ...
    • Savitzky-Golay Filters and Application to Image and Signal Denoising 

      Menon, Seeram V (2018-07-18)
      We explore the applicability of local polynomial approximation of signals for noise suppression. In the context of data regression, Savitzky and Golay showed that least-squares approximation of data with a polynomial of ...
    • Sparsity Motivated Auditory Wavelet Representation and Blind Deconvolution 

      Adiga, Aniruddha (2018-08-29)
      In many scenarios, events such as singularities and transients that carry important information about a signal undergo spreading during acquisition or transmission and it is important to localize the events. For example, ...
    • Sub-Nyquist Sampling and Super-Resolution Imaging 

      Mulleti, Satish (2018-07-04)
      The Shannon sampling framework is widely used for discrete representation of analog bandlimited signals, starting from samples taken at the Nyquist rate. In many practical applications, signals are not bandlimited. In order ...