# What is clock skew, and why can it be negative?

My HDL compiler (Quartus II) generates timing reports. In it, the nodes have "clock skew" column. The only definition of clock skew I found is in the TimeQuest documentation (see page 7-24):

To manually specify clock uncertainty, or skew, for clock-to-clock transfers, use the set_clock_uncertainty command.

So if skew is "uncertainty", why are some of my clock skews negative (e.g. -0.048)? What exactly is clock skew?

From Wikipedia:

In a synchronous circuit clock skew ($T_{Skew}$) is the difference in the arrival time between two sequentially-adjacent registers. Given two sequentially-adjacent registers $R_i$ and $R_j$ with clock arrival times at register clock pins as $T_{Ci}$ and $T_{Cj}$ respectively, then clock skew can be defined as:

$$T_{Skew i,j} = T_{Ci} - T_{Cj}$$

Clock skew can be positive or negative. If the clock signals are in complete synchronicity, then the clock skew observed at these registers is zero.

So the amount of clock skew at one register is relative to another register. Since it's relative, it can be positive or negative.

Some illustrations:

Take for example an intraclock transfer as defined in the TimeQuest document you provided:

Intraclock transfers occur when the register-to-register transfer takes place in the core of the device and the source and destination clocks come from the same PLL output pin or clock port.

So if the destination register is physically closer to clock generation circuitry, then the clock will probably arrive at the destination register before it arrives at the source register, resulting in a leading clock skew which is actually positive. If the destination register received the edge of the clock after the source register, the clock skew would be lagging or negative.

Said another way, clock skew is the uncertainty about how closely together in time a clock edge will reach two separate registers given in units of time with respect to a source register in an register-to-register transfer.

Expanding that difintion to include inter -clock transfers and setup and hold times gets a bit messy. So it's probably easier to think of it as "how synchronous" an edge or a hold time is between two registers. We tend to think of "synchronous" as "occurring at the same time". But things rarely occur at absolutely exactly the same time. So we need to put a tolerance on that time. And tolerances are often stated in terms of positive and negative (i.e. ±).

Modern digital logic devices are usually(*) designed with "synchronous design practice": a globally synchronous edge-triggered register-transfer design style (RTL): All sequential circuits are broken up into edge-triggered registers connected to the global clock signal CLK and pure combinational logic.

That design style allows people to quickly design digital logic systems without regard to timing. Their system will "just work" as long as there is enough time from one clock edge to the next for the internal state to settle.

With this design style, clock skew and other timing-related issues are irrelevant, except for figuring out "What's the maximum clock rate for this system?".

What exactly is clock skew?

For example:

...
R1 - register 1              R3
+-+
->| |------>( combinational  )  +-+
...->| |------>(         logic  )->| |--...
->|^|------>(                )->|^|
+-+       (                )  +-+
|   +--->(                )   |
CLK  | +->(                )  CLK
| |
R2:  | |
+-+  | |
...->| |->+ |
->|^|->--+
+-+
|
CLK


In real hardware, the "CLK" signal never really switches exactly simultaneously at every register. The clock skew Tskew is the delay of the downstream clock relative to the upstream clock (a):

Tskew(source, destination) = destination_time - source_time

where source_time is the time of an active clock edge at the upstream source register (in this case, R1 or R2), and destination_time is the time of "the same" active clock edge at some downstream destination register (in this case, R3).

• negative clock skew: the CLK at R3 switches before the clock at R1.
• positive clock skew: the CLK at R3 switches after the clock at R1.

What is the effect of clock skew?

(perhaps a timing diagram here would make this clearer)

For things to work properly, even in the worst case, R3's inputs must not change during R3's setup time or hold time. In other worse, for things to work properly, we must design things such that:

Tskew(R1, R3) < Tco - Th.

Tclk_min = Tco + Tcalc + Tsu - Tskew(R1, R3).

where:

• Tcalc is the maximum worst-case settling time of any block of combinational logic anywhere in the system. (Sometimes we can re-design the block of combinational logic that is on the critical path, pushing parts upstream or downstream, or inserting another stage of pipelining, so the new design has a smaller Tcalc, which allows us to increase the clock rate).
• Tclk_min is the minimum time period from one active clock edge to the next active clock edge. We calculate it from the above equation.
• Tsu is the register setup time. The register manufacturer expects us to use a clock slow enough to always meet this requirement.
• Th is the register hold time. The register manufacturer expects us to control clock skew enough to always meet this requirement.
• Tco is the clock-to-output delay (propagation time). After each active clock edge, R1 and R2 continue to drive the old values to the combinational logic for a short time Tco before switching to the new values. This is set by the hardware and guaranteed by the manufacturer, but only as long as we meet the Tsu and Th and other requirements the manufacturer specifies for normal operation.

Too much positive skew is an unmitigated disaster. Too much positive skew can (with some data combinations) cause "sneak paths" such that, instead of R3 latching the "correct data" at clock N+1 (a deterministic function of the data previously latched into R1 and R2 at clock N), the new data latched into R1 and R2 at clock N+1 can leak through, upset the combinational logic, and cause wrong data to be latched into R3 at "the same" clock edge N+1.

Any amount of negative skew can be "fixed" by slowing down the clock rate. It is only "bad" in the sense that it forces us to run the system at a slower clock rate, in order to give the inputs of R3 time to settle after R1 and R2 latch new data at clock edge N, and then later R3 latches the result at "the next" clock edge N+1.

Many systems use a clock distribution network that tries to reduce the skew to zero. Counter-intuitively, by carefully adding delays along the clock path -- the path from the clock generator to each register's CLK input -- it is possible to increase the apparent speed that the clock-edge wavefront physically travels from one register's CLK input to the next register's CLK input to faster than the speed of light.

The Altera documentation mentions

"Avoid using combinational logic in clock paths because it contributes to clock skew."

This is referring to the fact that many people write HDL that gets compiled onto a FPGA in a way that somehow causes something other than the global CLK signal to drive the local CLK input of some registers. (This may be "clock gating" logic so that new values are loaded into a register only when certain conditions are met; or "clock divider" logic that only let 1 out of N clocks through, or etc). That local CLK is usually derived from the global CLK somehow -- the global CLK ticks, and then either the local CLK doesn't change, or (a short delay after the global CLK for the signal to propagate through that "something other") the local CLK changes once.

When that "something other" drives the CLK of the downstream register (R3), it makes the skew more positive. When that "something other" drives the CLK of the upstream register (R1 or R2), it makes the skew more negative. Occasionally, whatever drives the CLK of the upstream register and whatever drives the CLK of the downstream register have practically the same delay, making the skew between them practically zero.

The clock distribution network inside some ASICs is deliberately designed with small amounts of positive clock skew on some registers, which gives the combinational logic upstream slightly more time to settle and so the entire system can be run at a faster clock rate. This is called "clock skew optimization" or "clock skew scheduling", and is related to "retiming".

I'm still mystified by the set_clock_uncertainty command -- why would I ever want to "manually specify" skew?

(*) One exception: asynchronous systems.

• I believe the idea behind adding delay to minimize clock skew can sometimes involve delaying the clock by nearly a full cycle. Once the clock is up and running, you can set it up so the flip flop A sees clock edge 1 at the same exact time flip flop B sees clock edge 2. From an external view, they're different edges, but the circuit doesn't care so long as the edges are perfectly aligned. – ajs410 Sep 12 '12 at 18:14

clock skew is when the clock arrives at different points of the circuit at different times due to the distance, capacitance etc which may cause it to malfunction. I think the negative must be when the clock gets to that point before it gets to the reference