Field of the Invention
[0001] The present invention relates to a multiplication circuit for generating an analog
voltage as a multiplication result for an analog computation.
Background of the Invention
[0002] The inventers of the present invention have proposed a multiplication circuit in
Japanese Application No. Hei 05-020676 and US Patent Application No. 08/181,118. This
multiplication circuit, as shown in Figure 2, generates an analog voltage corresponding
to a multiplication of a digital multiplier and an analog input voltage by a capacitive
coupling. The output of the capacitive coupling is inputted to two stages inverted
amplifiers INV1 and INV3, or INV2 and INV3 so that the output is kept stable and accurate.
These amplifiers consist of MOS inverters of 3 stages, the outputs of which are connected
through a feedback capacitances to their inputs.
[0003] The inverted amplifier keeps linearity and stability in the relationship between
the input and output by a large open gain of a multiplication gains of MOS inverters
of three stages.
[0004] This multiplication circuit performs multiplication of digital multiplier and analog
data, however it can not execute multiplication of digital data and digital data.
Summary of the Invention
[0005] The present invention is invented so as to solve the conventional problems and has
a purposes to provide a multiplication circuit for outputting an analog data as a
multiplication result of a multiplication of digital data and digital data.
[0006] Multiplication circuit according to the present invention performs weighting of an
analog input voltage by capacitive couplings of two stages or more. The cpacitive
coupling is controlled in weight according to the digital data to be multiplied.
[0007] According to the present invention, a digital data is multiplied by a digital data
and the calculation result is outputted as an analog data which can be used in another
analog calculation or other usages.
Detailed Description of the Drawings
[0008]
Figure 1 is a circuit diagram of the first embodiment of a multiplication circuit
according to the present invention, and
Figure 2 is a circuit diagram showing a multiplication circuit to be compared with
the present invention.
Preferred Embodiment of the Present Invention
[0009] Hereinafter an embodiment of the present invention is described with referring to
the attached drawings.
[0010] In Figure 1, a multiplication circuit has a plurality of the first switching circuits
SW11, SW12, SW13 and SW14 which are connected to capacitances C11, C12, C13 and C14,
respectively, of a capacitive coupling CP1. The capacitive coupling has further capacitance
C10 grounded.
[0011] An output of capacitive coupling CP1 is inputted to an inverting amplifier INV1 cosisting
of MOS inverters 11, 12 and 13 of 3 stages, and an output of inverting amplifier INV1
is connected to its input through feedback capacitance Cf1. INV1 keeps a linearity
and stability between the input and output by a large gain as multiplication of triple
gain of MOS inverters.
[0012] Switching means SW11, SW12, SW13 and SW14 are switches of two inputs and one output
for alternatively connecting a common analog input voltage Vd or the ground to the
capacitances C11, C12, C13 and C14. Switching means SW11, SW12, SW13 and SW14 are
controlled by digital signal A with 4 bits. When ai (i = 1 to 4) is "1", then Cli
is connected to Vd and when ai is "0", then Cli is grounded, when each bit of signal
A is designated as a1, a2, a3 and a4. When output of INV1 is Vo, then formula 1 is
defined.
Formula 1
[0013] 
Switching means SW21, SW22, SW23 and SW24 are switches of two inputs and one output
and are controlled by digital signal B of 4 bits. When each bit of signal B is designated
as b1, b2, b3 and b4, Vo is connected when bi is "1" and the ground is connected when
bi is "0". An output Vout of INV2 is defined as in formula 2.
Formula 2
[0014] 
Formula 3 is obtained when formula 1 is taken in formula 2.
Formula 3
[0015] 
When formula 4 is defined, then formula 5 is obtained.
Formula 4
[0016] 
Formula 5
[0017] 
By enlarging a circuit size of capacitive couplings CP1 and CP2, multiplication
of large digital data is possible. By increasing number of stages of inverting amplifiers,
a multi-steps multiplications of digital variables is realized. According to the inventor's
experience, enough linearity characteristic can be obtained by inverters of three
stages. In order to minimize the circuit of sufficient performances, the inverting
amplifier type multiplication is preferable.
[0018] Multiplication circuit according to the present invention performs weighting of an
analog input voltage by capacitive couplings of two stages or more and the capacitive
coupling is controlled in weight according to the digital data to be multiplied, so
that it can provide a multiplication circuit for outputting an analog data as a multiplication
result of a multiplication of digital data and digital data.
1. A multiplication circuit comprising a plurality of weighting circuit serially connected
which comprises,
i) a plurality of switching means to which a common analog input voltage in inputted,
said switching means being controlled by digital signals;
ii) a capacitive coupling with a plurality of capacitances each of which is connected
to one of said switching means;
iii) an amplifier with high open gain to which an output of said amplifier is connected;
and
iv) a feedback capacitance connecting an output of said amplifier to an input.
2. A multiplication circuit comprising;
i) the plurality of the first switching means to which a common analog input voltage
is inputted,
ii) the first capacitive coupling having a plurality of capacitances each of which
is connected to one of said first switching means;
iii) the first inverting amplifier connected to an output of said first capacitance,
said first inverting amplifier comprising MOS inverters of stages of odd number;
iv) the first feedback capacitance for connecting an output of said inverting amplifier
to an its input;
v) a plurality of the second switching means connected to an output of said inverting
amplifier;
vi) the second capacitive coupling connected to an output of said second switching
means;
vii) the second inverting amplifier connected an output of said second capacitive
coupling, said second inverting amplifier comprising MOS inverters of stages of odd
number;
viii) the second feedback capacitance for connecting an output of said second inverting
amplifier to its input; and
ix) said second inverting amplifier serially connects an odd number of MOS inverters.