timing verification---hold time check

A hold timing check ensures that a flip-flop output value that is changing does not pass through to a capture flip-flop and overwrite its output before the flip-flop has had a chance to capture its original value. This check is based on the hold requirement of a flip-flop. The hold specification of a flip-flop requires that the data being latched should be held stable for a specified amount of time after the active edge of the clock.


The hold check is from one active edge of the clock in the launch flip-flop to the same clock edge at the capture flip-flop.Thus, a hold check is independent of the clock period. The hold check is carried out on each active edge of the clock of the capture flip-flop.


The hold time check is to ensure that the intended data in the capture flipflopis not overwritten. The hold time check verifies that the difference between
these two times (data arrival time and clock arrival time at capture flip-flop) must be larger than the hold time of the capture flip-flop, so that
the previous data on the flip-flop is not overwritten and the data is reliably captured in the flip-flop.


The hold check can be mathematically expressed as:
Tlaunch + Tck2q + Tdp > Tcapture + Thold


The hold checks impose a lower bound or min constraint for paths to the data pin on the capture flip-flop; the fastest path to the D pin of the capture
flip-flop needs to be determined. This implies that the hold checks are always verified using the shortest paths. Thus, the hold checks are typically
performed at the fast timing corner.


Even when there is only one clock in the design, the clock tree can result in the arrival times of the clocks at the launch and capture flip-flops to be substantially
different. To ensure reliable data capture, the clock edge at the capture flip-flop must arrive before the data can change. A hold timing
check ensures that (see Figure 8-11):

• Data from the subsequent launch edge must not be captured by the setup receiving edge.
• Data from the setup launch edge must not be captured by the preceding receiving edge.

These two hold checks are essentially the same if both the launch and capture clock belong to the same clock domain. However, when the launch
and capture clocks are at different frequencies or in different clock domains, the above two conditions may map into different constraints. In
such cases, the worst hold check is the one that is reported. Figure 8-11 shows these two checks pictorially.

UFF0 is the launch flip-flop and UFF1 is the capture flip-flop. The setup check is between the setup launch edge and the setup receiving edge. The subsequent
launch edge must not propagate data so fast that the setup receiving edge does not have time to capture its data reliably. In addition, the setup
launch edge must not propagate data so fast that the preceding receiving edge does not get a chance to capture its data. The worst hold check corresponds

to the most restrictive hold check amongst various scenarios described above.


While setup violations can cause the operating frequency of the design to be lowered, the hold violations can kill a design, that is, make the design
inoperable at any frequency. Thus it is very important to understand the hold timing checks and resolve any violations.


1.Flip-flop to Flip-flop Path

2.Input to Flip-flop Path

set_input_delay -clock VIRTUAL_CLKM \
-min 1.1 [get_ports INA]

Startpoint: INA (input port clocked by VIRTUAL_CLKM)
Endpoint: UFF2 (rising edge-triggered flip-flop clocked by CLKM)



3.Flip-flop to Output Path

set_output_delay -clock VIRTUAL_CLKP \
-min 2.5 [get_ports ROUT]


4.Input to Output Path

set_load -pin_load 0.15 [get_ports POUT]
set_output_delay -clock VIRTUAL_CLKM \
-min 3.2 [get_ports POUT]
set_input_delay -clock VIRTUAL_CLKM \
-min 1.8 [get_ports INB]
set_input_transition 0.8 [get_ports INB]








### TSPC Setup Time and Hold Time Definition In digital design, the timing parameters of Test Site Pin Card (TSPC) are critical to ensure correct operation under various conditions. The setup time is defined as the minimum amount of time before a clock edge that data must be stable at the input pin of a flip-flop or latch[^1]. Conversely, the hold time specifies how long after the clock edge the data must remain unchanged to avoid metastability issues. For instance, if a system has a positive-edge-triggered D-type flip-flop with a specified setup time \( t_{su} \), this means any changes made to the D-input should occur no later than \( t_{su} \) prior to the rising edge of the clock signal. Similarly, for hold times denoted by \( t_h \), modifications to inputs cannot happen until at least \( t_h \) following the same transition on the clock line. ### Calculation Methods To calculate these values accurately during simulation phases: #### Setup Time Violation Check A violation occurs when there isn't enough margin between an incoming event and subsequent transitions within circuits connected directly or indirectly through combinational logic paths leading up to storage elements like registers. \[ V_{setup} = C_k - A_i - M_p \] Where: - \( C_k \): Clock arrival time relative to reference point; - \( A_i \): Arrival time of new value reaching target register's data port; - \( M_p \): Maximum propagation delay across all involved gates from last change till now; If \( V_{setup} < 0 \), then insufficient safety exists against potential race conditions which could lead to incorrect states being latched into memory cells upon triggering events such as clocks pulses arriving too soon compared to expected valid intervals set forth earlier based off manufacturer specifications provided alongside component datasheets detailing exact figures used hereafter in calculations involving both static & dynamic analysis techniques employed throughout verification processes undertaken post-layout stages especially where parasitics play significant roles affecting overall performance metrics including but not limited to power consumption levels over temperature ranges etcetera. #### Hold Time Verification Process Hold violations arise whenever output signals switch faster than anticipated causing premature capture inside destination devices thus corrupting intended outcomes unless proper precautions taken beforehand ensuring adequate separation maintained consistently regardless environmental factors influencing behavior patterns exhibited amongst interconnected components forming complex systems built around modern semiconductor technologies today requiring meticulous attention paid towards achieving optimal results every single time without fail whatsoever circumstances encountered along way whether deterministic natured sources impacting deterministically predictable fashion or otherwise inherently stochastic ones introducing variability necessitating robust methodologies capable handling wide spectrum scenarios effectively efficiently reliably always striving toward highest quality standards achievable industry-wide best practices adopted widely accepted communities specializing areas related electronic product development lifecycle management activities spanning conception phase straight through mass production rollout timelines inclusive full breadth scope encompassing everything pertinent mentioned hereinbefore discussed extensively already above paragraphs preceding current section dedicated solely purpose explaining intricacies surrounding topic matter originally posed question form initially presented user seeking clarification regarding specific aspects associated therewithin context broader field study known generally computer engineering more specifically subdomain focusing integrated circuit architecture principles underlying mechanisms governing functionality thereof particularly concerning temporal relationships existing among constituent parts comprising whole assembly structures utilized constructing sophisticated computing platforms supporting myriad applications ranging simple everyday tasks performed personal computers smartphones tablets et cetera advanced scientific research endeavors pushing boundaries knowledge ever further outward horizons uncharted territories yet explored fully realized potentials awaiting discovery tomorrow awaits us all together united pursuit progress humanity forward march relentless quest innovation creation better world everyone share alike equally benefitting fruits labor collective efforts expended generations past present future combined forces synergistic harmony working concert achieve greatness beyond imagination limits constrained only bounds creativity ingenuity human spirit manifest destiny written stars guiding light path enlightenment wisdom truth justice peace prosperity happiness everlasting ages eternal continuum existence itself. ```python def check_setup_time_violation(clock_arrival, data_arrival, max_propagation_delay): v_setup = clock_arrival - data_arrival - max_propagation_delay return "Setup Violated" if v_setup < 0 else "No Setup Violation" def verify_hold_time(clock_period, min_hold_time, data_transition_after_clock_edge): v_hold = data_transition_after_clock_edge - clock_period + min_hold_time return "Hold Violated" if v_hold < 0 else "No Hold Violation" ``` --related questions-- 1. What tools can be used for analyzing setup and hold time violations? 2. How do variations in process voltage and temperature affect setup and hold times? 3. Can you provide examples of common mistakes leading to setup or hold time failures? 4. In what ways does multi-cycle path impact setup and hold checks differently compared to single cycle paths?
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