Yamaha E1010 E1010 Owners Manual Image - Page 16

Does The Clock

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T = 5006 +1 STORED VOLTAGE 0 t 0 0 0 0 0 0 0 0 // 0 IN 1 2 3 4 5 6 7 8 9 10 F OUT 4095 STORAGE REGISTER NUMBER 15 As the samples exit the BBD, they go through a Low Pass Filter which smooths them and restores the original signal. In this illustration, the output appears approximately 100mS after it was input. LOW PASS FILTER NOTE: These samples are very coarse for convenience of illustration; there would normally be many more samples per cycle of audio. Output Signal A Comparison of Analog and Digital Delay Lines A digital delay l ine (DDL) generally incorporates signal conditioning circuitry which is similar to an analog delay l ine (ADL), but has another circuit element, an analog-to-digital (A-D) converter. The A-D converter takes each sample of the waveform and gives it a numerical value to represent its voltage level and polarity (+ or -). These numbers are stored in random access memory (RAM) or in digital shift registers instead of bucket brigade devices. After the desired delay, the numbers are retrieved from memory, go through D-A converters and again become voltage levels. These voltages are rough waveforms and, like the analog delay's BBD output, they must be low pass filtered. The A-D and D-A converters add to the cost of the digital delay line and provide an additional source of noise known as "quantizing noise." The ability of any DDL to handle wide dynamic range and frequency response depends largely on how many digits are used for each number -each stored voltage value. 12-bit (12 digit) DDL's are cheaper, but less desirable than 14-bit, 16-bit or higher resolution DDL's. 12 or more bits may seem like a lot, but remember this is a binary number (base 2), and the polarity, direction of voltage swing, and actual value must all be documented. Similar effects and delay times can be achieved in DDL's and ADL's. The major differences are in cost and performance. The most sophisticated DD L's can yield better audio performance than typical analog delays, but the cost of a DDL is considerably higher than an ADL of comparable audio quality and maximum delay time. Frequency Response versus Delay Time If a longer delay is desired, the clock rate may be slowed down (the E1010 DELAY control is turned up). However, as the clock is slowed down, the duration of each sample time increases, so a larger proportion of High Frequency Superimposed Pure Low Frequency Sine Wave Pure High Frequency Sine Wave on Low Frequency = A A+B LOW PASS FILTER 1:› Output of Bucket Brigade Device when low f equency is applied to input. Note the discrete voltage steps resemble a very high frequency. Output of Delay Line After Post-Delay Conditioning Fig. 12 - High frequencies "Ride" on lower ones and may be filtered out to "Smooth" waveform. the input signal falls into each sample. From Figure 12, it can be seen that high frequencies actually "ride" on low frequencies; they are the smaller "squiggles" superimposed on the dominant waveform. When a larger (coarser) sample is averaged, any small variations within the sample are lost, hence the high frequencies are lost. Thus, slowing the clock rate, while it does lengthen the delay time, also cuts the frequency bandwidth. Another way to increase the delay time maintains the same clock rate but utilizes more storage registers. This is exactly what occurs when the E1010 Delay pushbuttons are switched to a longer delay range. At first it might seem that this technique would provide longer delays with no loss of high frequencies. Due to the way the BBD's function, it is necessary to insert an additional low pass filter with each additional BBD, so there is still some high frequency loss as the delay time increases. However, the signal conditioning (preemphasis and de-emphasis) helps to minimize high frequency roll-off. HOW FAST DOES THE CLOCK RUN? The number of clock pulses per second constitute its rate (frequency). The clock, an oscillator, must be at least twice as fast as the highest audio frequencies one wishes to delay. In real numbers, a 50kHz clock rate would be desirable for a 20kHz upper audio response limit, 30kHz for a 13kHz upper limit, etc. This is why the high frequency response falls off as the clock is slowed down to achieve longer delays. Extremely high clock rates are generally avoided, even though they couldprovide better high frequency response, because (a) more BBD's are required to obtain a given delay, and (b) the relatedhigh-speed circuitry is more complex and costly. How Delay Time Changes Can Produce Pitch Changes Pitch (frequency) is determined by how many waves occur in a given unit of time, i.e. cycles per second. For instance, a 1kHz signal (1,000 cycles/second) is the same as 1 cycle per mill isecond. Normally, any signal applied to the E1010 input is exactly duplicated at its output, but is merely offset in time by a given delay. Thus, one cycle of a 1kHz sine wave would take 1 millisecond to emerge from the output jack of the E1010, but it might come out as much as 300 milliseconds (300mS) after it entered the unit's input. If the delay time is decreased while a signal is coming out of the E1010, then the pitch will be decreased- and vice-versa. For example, if the E1010 delay time is turned down from 300mS to 150mS just as the aforementioned 1kHz wave is emerging, then the wave will

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T
=
5006
As
the
samples
exit
the
BBD,
they
go
through
a
Low
Pass
Filter
which
smooths
them
and
restores
the
original
signal.
In
this
illustration,
the
output
appears
approximately
100mS
after
it
was
input.
+1
-
0
0
STORED
VOLTAGE
IN
t
0
0
0
0
0
0
0
F
/
/
0
OUT
1
2
3
4
5
6
7
8
9
10
4095
STORAGE
REGISTER
NUMBER
NOTE:
These
samples
are
very
coarse
for
convenience
of
illustration;
there
would
normally
be
many
more
samples
per
cycle
of
audio.
LOW
PASS
FILTER
Output
Signal
A
Comparison
of
Analog
and
Digital
Delay
Lines
A
digital
delay
l
ine
(DDL)
generally
incorporates
signal
conditioning
circuitry
which
is
similar
to
an
analog
delay
l
ine
(ADL),
but
has
another
circuit
element,
an
analog
-to
-digital
(A
-D)
converter.
The
A
-D converter
takes
each
sample
of
the waveform
and
gives
it
a
numerical
value
to
represent
its
voltage
level
and
polarity
(+
or
—).
These
numbers
are
stored
in
random
access
memory
(RAM)
or
in
digital
shift
registers
instead
of
bucket
brigade
devices.
After
the
desired
delay,
the
numbers
are
retrieved
from
memory,
go
through
D
-A
converters
and
again
become
voltage
levels.
These
voltages are
rough
waveforms
and,
like
the
analog delay's
BBD
output,
they
must
be
low
pass
filtered.
The
A
-D
and
D
-A
converters add
to
the cost
of
the
digital
delay
line
and
provide
an
additional
source
of
noise
known
as
"quantizing
noise."
The
ability
of
any
DDL
to
handle wide
dynamic
range
and
frequency
response
depends
largely
on
how
many
digits
are
used
for
each
number
—each
stored
voltage
value.
12
-bit
(12
digit)
DDL's
are
cheaper,
but
less
desirable
than
14
-bit,
16
-bit
or higher
resolution
DDL's.
12
or
more
bits
may
seem
like
a
lot,
but
remember
this
is
a
binary
number
(base
2),
and
the
polarity,
direction
of
voltage
swing,
and
actual
value
must
all
be
documented.
Similar
effects
and
delay
times
can
be
achieved
in
DDL's
and
ADL's.
The
major
differences
are
in
cost
and
performance.
The
most
sophisticated
DD
L's
can
yield
better
audio
performance
than
typical
analog
delays,
but
the
cost
of
a
DDL
is
considerably
higher
than
an
ADL
of
comparable
audio
quality
and
maximum
delay
time.
Frequency
Response
versus
Delay
Time
If
a
longer
delay
is
desired,
the
clock
rate
may
be
slowed
down
(the
E1010
DELAY
control
is
turned up).
However,
as
the
clock
is
slowed
down,
the
duration
of
each
sample
time
increases,
so
a
larger
proportion
of
High
Frequency
Superimposed
Pure
Low
Frequency
Sine
Wave
Pure
High
Frequency
Sine
Wave
on
Low
Frequency
=
A
1:
LOW
PASS
FILTER
Output
of
Bucket
Brigade
Device
when
low
f
equency
is
applied
to
input.
Note
the
discrete voltage
steps
resemble
a
very
high
frequency.
A+B
Output
of
Delay
Line
After
Post
-Delay
Conditioning
Fig.
12
-
High
frequencies
"Ride"
on
lower
ones
and
may
be
filtered
out
to
"Smooth"
waveform.
the
input
signal
falls
into
each
sample.
From
Figure
12,
it
can
be
seen
that
high
frequencies
actual
ly
"ride"
on
low
frequencies;
they
are
the
smal
ler
"squiggles"
super-
imposed
on
the
dominant
waveform.
When
a
larger
(coarser)
sample
is
averaged,
any
small
variations
within
the
sample
are
lost,
hence
the
high
frequencies
are
lost.
Thus,
slowing the
clock
rate,
while
it
does
lengthen
the
delay
time,
also
cuts
the
frequency
bandwidth.
Another
way
to
increase
the
delay
time
maintains the
same
clock
rate
but
utilizes
more
storage
registers.
This
is
exactly
what
occurs
when
the
E1010
Delay
push-
buttons
are
switched
to
a
longer
delay
range.
At
first
it
might
seem
that
this
technique
would
provide
longer
delays
with
no
loss
of
high
frequencies.
Due
to
the
way
the
BBD's
function,
it
is
necessary
to
insert
an
additional
low
pass
filter
with
each
additional
BBD,
so
there
is
still
some
high frequency
loss
as
the
delay
time
increases.
However, the
signal
conditioning
(pre
-
emphasis
and
de
-emphasis)
helps
to
minimize
high
frequency
roll
-off.
HOW
FAST
DOES THE CLOCK
RUN?
The
number
of
clock
pulses
per
second
constitute
its
rate
(frequency).
The
clock,
an
oscillator,
must
be
at
least
twice
as
fast
as
the
highest
audio
frequencies
one
wishes
to
delay.
In
real
numbers,
a
50kHz
clock
rate
would
be
desirable
for
a
20kHz
upper
audio
response
limit,
30k
Hz
for
a
13kHz
upper
limit,
etc.
This
is
why
the
high
frequency
response
falls
off
as
the
clock is
slowed
down
to
achieve
longer
delays.
Extremely
high
clock
rates
are
generally avoided,
even
though
they
could
provide
better
high
frequency
response,
because
(a)
more
BBD's
are
required
to
obtain
a
given
delay,
and
(b)
the
related
high-speed
circuitry
is
more
complex
and
costly.
How
Delay
Time
Changes
Can
Produce
Pitch
Changes
Pitch (frequency)
is
determined
by
how
many
waves
occur
in
a
given
unit
of
time,
i.e.
cycles
per
second.
For
instance,
a
1kHz
signal
(1,000
cycles/second)
is
the
same
as
1
cycle
per
mil
l
isecond.
Normally,
any
signal
applied
to
the
E1010
input
is
exactly
duplicated
at
its
output,
but
is
merely
offset
in
time
by
a
given
delay.
Thus,
one
cycle
of
a
1kHz
sine
wave
would
take
1
millisecond
to
emerge
from
the
output
jack
of
the
E1010,
but
it
might
come
out
as
much
as
300
milliseconds (300mS)
after
it
entered
the
unit's
input.
If
the
delay
time
is
decreased
while
a
signal
is
coming
out
of
the
E1010,
then the
pitch
will
be decreased
and vice
-versa.
For
example,
if
the
E1010
delay
time
is
turned
down
from
300mS
to
150mS
just
as
the
afore-
mentioned
1kHz
wave
is
emerging,
then the
wave
will
15