A, multifrequency range digital sinusoidal oscillator with high resolution and uniform frequency spacing

Al-Ibrahim, M.M.

doi:10.1109/82.965003

Cited by 8 publications

(12 citation statements)

References 8 publications

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“…Let [ ] and [ ] denote the two outputs of a digital sine-cosine generator and given by [8]: respectively, two delay units are used in the corresponding structure. That's why digital sine-cosine signals can be generated using a second-order recursive digital filter with poles on the unit circle in the complex z-plane [9]. Thus it is required to compare Eqn.…”

Section: Design and Realization Of Single-multiplier Digital Sine-cosmentioning

confidence: 99%

“…Another method to generate digital sinecosine waves is by using a second-order critically-stable recursive digital filter with poles on the unit circle in the complex zplane. The difference equation of the digital system representing the direct form digital sine wave oscillator contains one multiplication operation and one subtraction and can be derived as follows [9], [11]:…”

Section: Design and Realization Of Single-multiplier Digital Sine-cosmentioning

confidence: 99%

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FPGA Implementations of Single-Multiplier Digital Sine-Cosine Wave Generators

Abdul–Jabbar¹,

Qaqos²

2012

(AREJ)

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This paper presents four different realizations of single-multiplier sine-cosine generators based on second-order digital filter structure. FPGA implementations of these four realizations are carried out on FPGA Spartan-3E Kit. Implementation results are compared from the view points of utilization resources and maximum frequency of operation. Another comparison is made between one of implementations of the derived structures and other two recent CORDIC-based implementations. The comparison results indicate that smaller chip area can be achieved in the case of the proposed structure of the sine-cosine generator. In addition, such structure can operate with higher circuit frequency as compared with the two others.

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Section: Design and Realization Of Single-multiplier Digital Sine-cosmentioning

confidence: 99%

Section: Design and Realization Of Single-multiplier Digital Sine-cosmentioning

confidence: 99%

FPGA Implementations of Single-Multiplier Digital Sine-Cosine Wave Generators

Abdul–Jabbar¹,

Qaqos²

2012

(AREJ)

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“…In particular, the derivations of some reduced structures for digital sine-cosine generators that produce the two sinusoidal sequences that are exactly 90 degrees out of phase with each other is first discussed. These circuits have many applications in many signal processing systems such as the computation of the Discrete Fourier Transform (DFT) [8,9]. They can also form the backbone of certain orthogonal modulation systems utilized in recent optical and mobile communications.…”

Section: Realizations Of Single-multiplier Digital Sine-cosine Generatormentioning

confidence: 99%

“…Making use of (1) and (2), (3) and (4) can be rewritten in matrix form as = So, to obtain and from and , respectively, two delay units are used in the corresponding structure. That is why digital sine-cosine signals can be generated using a second-order recursive digital filter with poles on the unit circle in the complex zplane [9]. Thus, it is required to compare (5) with the equivalent expression of a general second-order structure with no delay free loops in order to arrive at a realization of the single-multiplier sine-cosine generator.…”

Section: Letmentioning

confidence: 99%

“…Nevertheless, such oscillator structure also required a single 14-bit multiplier for its hardware implementation. Again in 2001, M. Al-Ibrahim [9] introduced a multi-frequency range digital sinusoidal oscillator with high resolution and uniform frequency spacing. He modified this work in 2003 for efficient digital oscillator with continuous phase [10].…”

Section: Introductionmentioning

confidence: 99%

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Performance Analysis of Single-Multiplier Digital Sine-Cosine Generators

Abdul–Jabbar¹,

Qaqos²

2012

(AREJ)

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In this paper, second order structures satisfying single-multiplier digital sine-cosine generators are derived analytically, resulting in four different realizations. Some important characteristics of these generator structures, like total harmonic distortion percentage (THD%), frequency error (and frequency resolution are defined and examined as performance measures. The four generator realizations are simulated using Matlab7.0 program. The simulation results show that better performance (THD% and are very low or negligible) can be obtained for these realizations by using 32 bits to represent the single-multiplier coefficient and other the outputs of arithmetic operations. The rounding-off method is applied as a quantization process after multiplication process. A comparison is made between one of the best-derived structures and other two recent structures implemented in previous researches. The comparison results indicate that better performance measures can be achieved from the proposed realization for the single-multiplier digital sine-cosine generator.

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5. Recursive Oscillators

Digital Synthesizers and Transmitters for Software Radio

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A, multifrequency range digital sinusoidal oscillator with high resolution and uniform frequency spacing

Cited by 8 publications

References 8 publications

FPGA Implementations of Single-Multiplier Digital Sine-Cosine Wave Generators

FPGA Implementations of Single-Multiplier Digital Sine-Cosine Wave Generators

Performance Analysis of Single-Multiplier Digital Sine-Cosine Generators

5. Recursive Oscillators

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