[書籍][B] Arithmetic circuits for DSP applications

PK Meher, T Stouraitis - 2017 - books.google.com
A comprehensive guide to the fundamental concepts, designs, and implementation
schemes, performance considerations, and applications of arithmetic circuits for DSP …

Weighted two-valued digit-set encodings: unifying efficient hardware representation schemes for redundant number systems

G Jaberipur, B Parhami… - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
We introduce the notion of two-valued digit (twit) as a binary variable that can assume one of
two different integer values. Posibits, or simply bits, in {0, 1} and negabits in {-1, 0} …

Efficient realisation of arithmetic algorithms with weighted collection of posibits and negabits

G Jaberipur, B Parhami - IET computers & digital techniques, 2012 - IET
Most common uses of negatively weighted bits (negabits), normally assuming arithmetic
value− 1 (0) for logical 1 (0) state, are as the most significant bit of 2's-complement numbers …

Efficient conversion technique from redundant binary to nonredundant binary representation

RK Barik, M Pradhan, R Panda - Journal of Circuits, Systems and …, 2017 - World Scientific
Redundant Binary (RB) to Two's Complement (TC) converter offers nonredundant
representation. However, the sign bit of TC representation has to be handled using …

An efficient universal addition scheme for all hybrid-redundant representations with weighted bit-set encoding

G Jaberipur, B Parhami, M Ghodsi - … of VLSI signal processing systems for …, 2006 - Springer
Redundant and hybrid-redundant number representations are used extensively to speed up
arithmetic operations within general-purpose and special-purpose digital systems, with the …

Design techniques for very high speed digital delta-sigma modulators aimed at all-digital RE transmitters

A Frappé, A Flament, A Kaiser… - 2006 13th IEEE …, 2006 - ieeexplore.ieee.org
This paper presents a very high-speed delta-sigma modulator for achieving digital
generation of radio-frequency signals. About 68 dB of ACLR (adjacent channel leakage …

Approach to the design of parity-checked arithmetic circuits

B Parhami - Conference Record of the Thirty-Sixth Asilomar …, 2002 - ieeexplore.ieee.org
Achieving fault tolerance via parity checking is attractive due to low overhead in storage and
interconnect. However, nonpreservation of parity during arithmetic operations makes it …

Tight upper bounds on the minimum precision required of the divisor and the partial remainder in high-radix division

B Parhami - IEEE Transactions on Computers, 2003 - ieeexplore.ieee.org
Digit-recurrence binary dividers are sped up via two complementary methods: kee** the
partial remainder in redundant form and selecting the quotient digits in a radix higher than 2 …

Fully redundant decimal addition and subtraction using stored-unibit encoding

A Kaivani, G Jaberipur - Integration, 2010 - Elsevier
öööööDecimal computer arithmetic is experiencing a revived popularity, and there is quest
for high-performance decimal hardware units. Successful experiences on binary computer …

Redundant number system-based arithmetic circuits

G Jaberipur - Arithmetic Circuits for DSP Applications, 2017 - books.google.com
Carry propagation in radix-based number systems, like the conventional binary or decimal
number systems, is the main issue that slows down the arithmetic operations. The latency of …