2015-16

Permanent URI for this collection

http://172.16.1.132:4000/handle/123456789/4840

Browse

Browsing 2015-16 by Author "Madhukar, B N"

Now showing 1 - 3 of 3
  • Thumbnail Image
    Item
    Duality Theorem For Infinite Hankel Transform
    (2015-05-06T05:16:07Z) Madhukar, B N; Sanjay, Jain; Satyanarayana, P. S
    This paper presents a new property called the Duality Theorem for the Infinite Hankel Transform. Infinite Hankel Transform or simply Hankel Transform is an integral transform related to the renowned Fourier Transform that finds applications in electromagnetics, heat power and a host of other applications. A formal derivation of the Duality Theorem corresponding to the Infinite Hankel Transform is given which was hitherto not mentioned or derived in the literature. The usage of Duality Theorem helps in finding the time-domain function from the Hankel Transform domain and vice versa thereby reducing considerable labour and computation time, if a known Hankel Transform pair is available and the same has been exemplified with suitable illustrative examples.
  • Thumbnail Image
    Item
    Duality Theorems For Infinite Fourier Cosine And Sine Transforms
    (2015-06-18T04:12:14Z) Madhukar, B N; Sanjay, Jain; Satyanarayana, P S
    This paper presents two new properties called Duality Theorems, exclusively each for the Infinite Fourier Cosine and Fourier Sine Transforms respectively, which were hitherto not mentioned or given elsewhere in the literature. These two integral ransforms which are derived from the Fourier Integral and the Infinite Fourier Transform are well known in the mathematical and engineering fraternity and are used in a variety of applications. The Infinite Fourier Cosine and Sine Transforms have their own interesting properties. In this paper, we present formal derivations of the Duality Theorems for these two transforms. The usage of the Duality Theorems help in finding the time – domain function from the Infinite Fourier Cosine and Sine Transforms’ (frequency) domain and vice versa thereby reducing considerable labour and computation time involved in Integration, if a known Infinite Fourier Sine and Cosine Transform pair is known. The usages of the Duality Theorems have been exemplified with suitable illustrative examples.
  • Thumbnail Image
    Item
    Formant Estimation of Speech Using Discrete Hartley Transform
    (2015-08-04T07:34:25Z) Madhukar, B N; Sanjay, Jain; Satyanarayana, P. S.
    This paper presents a new method for formant estimation of speech signal using Discrete Hartley Transformapproach. Hitherto, the formant estimation of speech was carried out in temporal and frequency domains using Discrete Fourier Transform (DFT) based approach. A new approach of accomplishing this in the frequency domain using DHT, rather than using the DFT, is proposed. DFT, being a complex transform, takes more computation time for finding the formant frequencies of the speech signal, but DHT being a real transform takes less computation time to do the same with less memory requirement. The relationship between DFT and DHT is made use of for computing the formants, rather than using the DFT directly. The usage of DHT method is found to be optimal than using the direct DFT approach thereby saving implementation cost substantially in the formant estimation of speech signals. The analysis is done by comparing the usage of DFT directly on the speech signal and then using DHT, there by seeing the performance of these mathematical transforms based on computation time, which is used as a performance metric for validating the veracity of performance of the two discrete transforms concerned.